25478726400 has 648 divisors, whose sum is σ = 99111434240. Its totient is φ = 6220800000.

The previous prime is 25478726363. The next prime is 25478726477. The reversal of 25478726400 is 462787452.

It is a happy number.

25478726400 is a `hidden beast` number, since 2 + 547 + 87 + 26 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33926025 + ... + 33926775.

Almost surely, 2^25478726400 is an apocalyptic number.

25478726400 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 25478726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49555717120).

25478726400 is an abundant number, since it is smaller than the sum of its proper divisors (73632707840).

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

25478726400 is a wasteful number, since it uses less digits than its factorization.

25478726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 25478726400 in words is "twenty-five billion, four hundred seventy-eight million, seven hundred twenty-six thousand, four hundred".