25623538988544 has 240 divisors, whose sum is σ = 87242052817920. Its totient is φ = 7084849213440.

The previous prime is 25623538988543. The next prime is 25623538988573. The reversal of 25623538988544 is 44588983532652.

25623538988544 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 3 + 538 + 9 + 8 + 85 + 4 + 4 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25623538988543) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11812654 + ... + 13812525.

It is an arithmetic number, because the mean of its divisors is an integer number (363508553408).

Almost surely, 2^{25623538988544} is an apocalyptic number.

25623538988544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

25623538988544 is an abundant number, since it is smaller than the sum of its proper divisors (61618513829376).

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

25623538988544 is a wasteful number, since it uses less digits than its factorization.

25623538988544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25625241 (or 25625222 counting only the distinct ones).

The product of its digits is 1990656000, while the sum is 72.

The spelling of 25623538988544 in words is "twenty-five trillion, six hundred twenty-three billion, five hundred thirty-eight million, nine hundred eighty-eight thousand, five hundred forty-four".