10152997152 has 96 divisors (see below), whose sum is σ = 27732886272. Its totient is φ = 3249752064.

The previous prime is 10152997139. The next prime is 10152997163. The reversal of 10152997152 is 25179925101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×10152997152² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217908 + ... + 260364.

It is an arithmetic number, because the mean of its divisors is an integer number (288884232).

Almost surely, 2^10152997152 is an apocalyptic number.

10152997152 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 10152997152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13866443136).

10152997152 is an abundant number, since it is smaller than the sum of its proper divisors (17579889120).

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

10152997152 is a wasteful number, since it uses less digits than its factorization.

10152997152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42570 (or 42562 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 42.

The spelling of 10152997152 in words is "ten billion, one hundred fifty-two million, nine hundred ninety-seven thousand, one hundred fifty-two".