25501200504 has 128 divisors (see below), whose sum is σ = 71770406400. Its totient is φ = 7491939840.

The previous prime is 25501200463. The next prime is 25501200521. The reversal of 25501200504 is 40500210552.

It is a happy number.

It is a super-2 number, since 2×25501200504² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 4439074 + ... + 4444814.

It is an arithmetic number, because the mean of its divisors is an integer number (560706300).

Almost surely, 2^25501200504 is an apocalyptic number.

25501200504 is a gapful number since it is divisible by the number (24) 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 25501200504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35885203200).

25501200504 is an abundant number, since it is smaller than the sum of its proper divisors (46269205896).

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

25501200504 is a wasteful number, since it uses less digits than its factorization.

25501200504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6405 (or 6401 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The spelling of 25501200504 in words is "twenty-five billion, five hundred one million, two hundred thousand, five hundred four".