10025557920 has 384 divisors, whose sum is σ = 40607239680. Its totient is φ = 2290996224.

The previous prime is 10025557907. The next prime is 10025557979. The reversal of 10025557920 is 2975552001.

10025557920 is a `hidden beast` number, since 10 + 0 + 2 + 5 + 557 + 92 + 0 = 666.

10025557920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2447394 + ... + 2451486.

It is an arithmetic number, because the mean of its divisors is an integer number (105748020).

Almost surely, 2^10025557920 is an apocalyptic number.

10025557920 is a gapful number since it is divisible by the number (10) 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 10025557920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303619840).

10025557920 is an abundant number, since it is smaller than the sum of its proper divisors (30581681760).

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

10025557920 is an frugal number, since it uses more digits than its factorization.

10025557920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The spelling of 10025557920 in words is "ten billion, twenty-five million, five hundred fifty-seven thousand, nine hundred twenty".