10499560097952 has 192 divisors, whose sum is σ = 29987355686400. Its totient is φ = 3206017428480.

The previous prime is 10499560097911. The next prime is 10499560097953. The reversal of 10499560097952 is 25979006599401.

It is a super-2 number, since 2×10499560097952² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10499560097953) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5764863 + ... + 7364289.

It is an arithmetic number, because the mean of its divisors is an integer number (156184144200).

Almost surely, 2^{10499560097952} is an apocalyptic number.

10499560097952 is a gapful number since it is divisible by the number (12) 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 10499560097952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14993677843200).

10499560097952 is an abundant number, since it is smaller than the sum of its proper divisors (19487795588448).

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

10499560097952 is a wasteful number, since it uses less digits than its factorization.

10499560097952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599579 (or 1599571 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 66.

The spelling of 10499560097952 in words is "ten trillion, four hundred ninety-nine billion, five hundred sixty million, ninety-seven thousand, nine hundred fifty-two".