25135748500800 has 672 divisors, whose sum is σ = 99272973107200. Its totient is φ = 5559969945600.

The previous prime is 25135748500763. The next prime is 25135748500843. The reversal of 25135748500800 is 800584753152.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25135748500800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50792157 + ... + 51284643.

Almost surely, 2^{25135748500800} is an apocalyptic number.

25135748500800 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 25135748500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49636486553600).

25135748500800 is an abundant number, since it is smaller than the sum of its proper divisors (74137224606400).

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

25135748500800 is a wasteful number, since it uses less digits than its factorization.

25135748500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492564 (or 492535 counting only the distinct ones).

The product of its (nonzero) digits is 1344000, while the sum is 48.

The spelling of 25135748500800 in words is "twenty-five trillion, one hundred thirty-five billion, seven hundred forty-eight million, five hundred thousand, eight hundred".