25255876404000 has 384 divisors, whose sum is σ = 90273913067520. Its totient is φ = 6121686912000.

The previous prime is 25255876403987. The next prime is 25255876404029. The reversal of 25255876404000 is 40467855252.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1249105891 + ... + 1249126109.

It is an arithmetic number, because the mean of its divisors is an integer number (235088315280).

Almost surely, 2^{25255876404000} is an apocalyptic number.

25255876404000 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 25255876404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45136956533760).

25255876404000 is an abundant number, since it is smaller than the sum of its proper divisors (65018036663520).

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

25255876404000 is a wasteful number, since it uses less digits than its factorization.

25255876404000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29721 (or 29703 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 48.

The spelling of 25255876404000 in words is "twenty-five trillion, two hundred fifty-five billion, eight hundred seventy-six million, four hundred four thousand".