25264028160 has 480 divisors, whose sum is σ = 100502138880. Its totient is φ = 5745475584.

The previous prime is 25264028159. The next prime is 25264028173. The reversal of 25264028160 is 6182046252.

It is a happy number.

25264028160 is a `hidden beast` number, since 2 + 5 + 2 + 640 + 2 + 8 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×25264028160² (a number of 22 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61770036 + ... + 61770444.

It is an arithmetic number, because the mean of its divisors is an integer number (209379456).

Almost surely, 2^25264028160 is an apocalyptic number.

25264028160 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 25264028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50251069440).

25264028160 is an abundant number, since it is smaller than the sum of its proper divisors (75238110720).

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

25264028160 is a wasteful number, since it uses less digits than its factorization.

25264028160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 25264028160 in words is "twenty-five billion, two hundred sixty-four million, twenty-eight thousand, one hundred sixty".