10172512896 has 384 divisors, whose sum is σ = 34196112000. Its totient is φ = 2676989952.

The previous prime is 10172512891. The next prime is 10172512913. The reversal of 10172512896 is 69821527101.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10172512891) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22259100 + ... + 22259556.

It is an arithmetic number, because the mean of its divisors is an integer number (89052375).

Almost surely, 2^10172512896 is an apocalyptic number.

10172512896 is a gapful number since it is divisible by the number (16) 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 10172512896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17098056000).

10172512896 is an abundant number, since it is smaller than the sum of its proper divisors (24023599104).

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

10172512896 is an equidigital number, since it uses as much as digits as its factorization.

10172512896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 42.

The spelling of 10172512896 in words is "ten billion, one hundred seventy-two million, five hundred twelve thousand, eight hundred ninety-six".