10525904928 has 288 divisors, whose sum is σ = 38116915200. Its totient is φ = 2675566080.

The previous prime is 10525904903. The next prime is 10525904933. The reversal of 10525904928 is 82940952501.

It is a happy number.

10525904928 is a `hidden beast` number, since 1 + 0 + 52 + 590 + 4 + 9 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10525904928² (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 47 ways as a sum of consecutive naturals, for example, 1037223 + ... + 1047321.

It is an arithmetic number, because the mean of its divisors is an integer number (132350400).

Almost surely, 2^10525904928 is an apocalyptic number.

10525904928 is a gapful number since it is divisible by the number (18) 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 10525904928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19058457600).

10525904928 is an abundant number, since it is smaller than the sum of its proper divisors (27591010272).

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

10525904928 is a wasteful number, since it uses less digits than its factorization.

10525904928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180 (or 10169 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 10525904928 in words is "ten billion, five hundred twenty-five million, nine hundred four thousand, nine hundred twenty-eight".