25938084960 has 72 divisors (see below), whose sum is σ = 88513719840. Its totient is φ = 6916822272.

The previous prime is 25938084959. The next prime is 25938084961. The reversal of 25938084960 is 6948083952.

25938084960 is a `hidden beast` number, since 2 + 593 + 8 + 0 + 8 + 49 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25938084959) and next prime (25938084961).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 25938084897 and 25938084906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25938084961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9004840 + ... + 9007719.

It is an arithmetic number, because the mean of its divisors is an integer number (1229357220).

Almost surely, 2^25938084960 is an apocalyptic number.

25938084960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25938084960 is an abundant number, since it is smaller than the sum of its proper divisors (62575634880).

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

25938084960 is a wasteful number, since it uses less digits than its factorization.

25938084960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18012580 (or 18012569 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 25938084960 in words is "twenty-five billion, nine hundred thirty-eight million, eighty-four thousand, nine hundred sixty".