25254675600 has 960 divisors, whose sum is σ = 106013214720. Its totient is φ = 4987699200.

The previous prime is 25254675553. The next prime is 25254675623. The reversal of 25254675600 is 657645252.

It is a super-2 number, since 2×25254675600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 283760356 + ... + 283760444.

It is an arithmetic number, because the mean of its divisors is an integer number (110430432).

Almost surely, 2^25254675600 is an apocalyptic number.

25254675600 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 25254675600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53006607360).

25254675600 is an abundant number, since it is smaller than the sum of its proper divisors (80758539120).

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

25254675600 is a wasteful number, since it uses less digits than its factorization.

25254675600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 25254675600 in words is "twenty-five billion, two hundred fifty-four million, six hundred seventy-five thousand, six hundred".