25879526400 has 1188 divisors, whose sum is σ = 112012773432. Its totient is φ = 5222891520.

The previous prime is 25879526399. The next prime is 25879526417. The reversal of 25879526400 is 462597852.

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 25879526400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1125196789 + ... + 1125196811.

Almost surely, 2^25879526400 is an apocalyptic number.

25879526400 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 25879526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56006386716).

25879526400 is an abundant number, since it is smaller than the sum of its proper divisors (86133247032).

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

25879526400 is a wasteful number, since it uses less digits than its factorization.

25879526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 25879526400 in words is "twenty-five billion, eight hundred seventy-nine million, five hundred twenty-six thousand, four hundred".