10025525772 has 72 divisors (see below), whose sum is σ = 26136061952. Its totient is φ = 3237926400.

The previous prime is 10025525717. The next prime is 10025525789. The reversal of 10025525772 is 27752552001.

10025525772 is a `hidden beast` number, since 10 + 0 + 25 + 52 + 577 + 2 = 666.

It is a super-2 number, since 2×10025525772² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305397 + ... + 336627.

Almost surely, 2^10025525772 is an apocalyptic number.

10025525772 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 10025525772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13068030976).

10025525772 is an abundant number, since it is smaller than the sum of its proper divisors (16110536180).

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

10025525772 is a wasteful number, since it uses less digits than its factorization.

10025525772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31519 (or 31514 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The spelling of 10025525772 in words is "ten billion, twenty-five million, five hundred twenty-five thousand, seven hundred seventy-two".