25630342920 has 512 divisors, whose sum is σ = 105670656000. Its totient is φ = 5380992000.

The previous prime is 25630342897. The next prime is 25630342937. The reversal of 25630342920 is 2924303652.

It is a happy number.

25630342920 is a `hidden beast` number, since 2 + 563 + 0 + 3 + 4 + 2 + 92 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24667761 + ... + 24668799.

It is an arithmetic number, because the mean of its divisors is an integer number (206388000).

Almost surely, 2^25630342920 is an apocalyptic number.

25630342920 is a gapful number since it is divisible by the number (20) 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 25630342920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328000).

25630342920 is an abundant number, since it is smaller than the sum of its proper divisors (80040313080).

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

25630342920 is a wasteful number, since it uses less digits than its factorization.

25630342920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 25630342920 in words is "twenty-five billion, six hundred thirty million, three hundred forty-two thousand, nine hundred twenty".