25955583259200 has 672 divisors, whose sum is σ = 100706368665600. Its totient is φ = 5849119180800.

The previous prime is 25955583259183. The next prime is 25955583259297. The reversal of 25955583259200 is 295238555952.

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 (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116783379 + ... + 117005421.

Almost surely, 2^{25955583259200} is an apocalyptic number.

25955583259200 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 25955583259200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50353184332800).

25955583259200 is an abundant number, since it is smaller than the sum of its proper divisors (74750785406400).

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

25955583259200 is a wasteful number, since it uses less digits than its factorization.

25955583259200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222160 (or 222131 counting only the distinct ones).

The product of its (nonzero) digits is 48600000, while the sum is 60.

The spelling of 25955583259200 in words is "twenty-five trillion, nine hundred fifty-five billion, five hundred eighty-three million, two hundred fifty-nine thousand, two hundred".