25290256320 has 1344 divisors, whose sum is σ = 112080568320. Its totient is φ = 5341593600.

The previous prime is 25290256247. The next prime is 25290256339. The reversal of 25290256320 is 2365209252.

It is a happy number.

25290256320 is a `hidden beast` number, since 2 + 5 + 2 + 90 + 2 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 538090537 + ... + 538090583.

It is an arithmetic number, because the mean of its divisors is an integer number (83393280).

Almost surely, 2^25290256320 is an apocalyptic number.

25290256320 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 25290256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56040284160).

25290256320 is an abundant number, since it is smaller than the sum of its proper divisors (86790312000).

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

25290256320 is a wasteful number, since it uses less digits than its factorization.

25290256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 25290256320 in words is "twenty-five billion, two hundred ninety million, two hundred fifty-six thousand, three hundred twenty".