10497600000 has 540 divisors, whose sum is σ = 39323041758. Its totient is φ = 2799360000.

The previous prime is 10497599989. The next prime is 10497600007. The reversal of 10497600000 is 679401.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10497600000 is a `hidden beast` number, since 10 + 49 + 7 + 600 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 15116544 + 10482483456 = 3888^2 + 102384^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×10497600000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10497600007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2099519998 + ... + 2099520002.

Almost surely, 2^10497600000 is an apocalyptic number.

10497600000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10497600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19661520879).

10497600000 is an abundant number, since it is smaller than the sum of its proper divisors (28825441758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10497600000 is an frugal number, since it uses more digits than its factorization.

10497600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

It can be divided in two parts, 1049 and 7600000, that added together give a square (7601049 = 2757²).

The spelling of 10497600000 in words is "ten billion, four hundred ninety-seven million, six hundred thousand".