10497960000 has 630 divisors, whose sum is σ = 41501626166. Its totient is φ = 2534400000.

The previous prime is 10497959987. The next prime is 10497960007. The reversal of 10497960000 is 6979401.

10497960000 is a `hidden beast` number, since 1 + 0 + 49 + 7 + 9 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2815788096 + 7682171904 = 53064^2 + 87648^2 .

It is a super-2 number, since 2×10497960000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10497960007) 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 89 ways as a sum of consecutive naturals, for example, 43559880 + ... + 43560120.

Almost surely, 2^10497960000 is an apocalyptic number.

10497960000 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 10497960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20750813083).

10497960000 is an abundant number, since it is smaller than the sum of its proper divisors (31003666166).

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

10497960000 is a wasteful number, since it uses less digits than its factorization.

10497960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10497960000 in words is "ten billion, four hundred ninety-seven million, nine hundred sixty thousand".