10525227035904 has 1152 divisors, whose sum is σ = 38407598530560. Its totient is φ = 2774974464000.

The previous prime is 10525227035891. The next prime is 10525227035909. The reversal of 10525227035904 is 40953072252501.

10525227035904 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 52 + 2 + 7 + 0 + 3 + 590 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×10525227035904² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10525227035904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10525227035909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10308742914 + ... + 10308743934.

It is an arithmetic number, because the mean of its divisors is an integer number (33339929280).

Almost surely, 2^{10525227035904} is an apocalyptic number.

10525227035904 is a gapful number since it is divisible by the number (14) 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 10525227035904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203799265280).

10525227035904 is an abundant number, since it is smaller than the sum of its proper divisors (27882371494656).

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

10525227035904 is a wasteful number, since it uses less digits than its factorization.

10525227035904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 10525227035904 in words is "ten trillion, five hundred twenty-five billion, two hundred twenty-seven million, thirty-five thousand, nine hundred four".