25314086520 has 256 divisors, whose sum is σ = 85660416000. Its totient is φ = 6648768000.

The previous prime is 25314086513. The next prime is 25314086531. The reversal of 25314086520 is 2568041352.

25314086520 is a `hidden beast` number, since 2 + 53 + 1 + 4 + 0 + 86 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26069635 + ... + 26070605.

It is an arithmetic number, because the mean of its divisors is an integer number (334611000).

Almost surely, 2^25314086520 is an apocalyptic number.

25314086520 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 25314086520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42830208000).

25314086520 is an abundant number, since it is smaller than the sum of its proper divisors (60346329480).

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

25314086520 is a wasteful number, since it uses less digits than its factorization.

25314086520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1331 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 25314086520 in words is "twenty-five billion, three hundred fourteen million, eighty-six thousand, five hundred twenty".