25495089422400 has 840 divisors, whose sum is σ = 105310353914304. Its totient is φ = 6002848051200.

The previous prime is 25495089422351. The next prime is 25495089422447. The reversal of 25495089422400 is 422498059452.

25495089422400 is a `hidden beast` number, since 2 + 5 + 4 + 9 + 508 + 94 + 2 + 2 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38421435 + ... + 39079365.

Almost surely, 2^{25495089422400} is an apocalyptic number.

25495089422400 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 25495089422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52655176957152).

25495089422400 is an abundant number, since it is smaller than the sum of its proper divisors (79815264491904).

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

25495089422400 is a wasteful number, since it uses less digits than its factorization.

25495089422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658001 (or 657977 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 25495089422400 in words is "twenty-five trillion, four hundred ninety-five billion, eighty-nine million, four hundred twenty-two thousand, four hundred".