25630963200 has 360 divisors, whose sum is σ = 92176752096. Its totient is φ = 6801408000.

The previous prime is 25630963177. The next prime is 25630963219. The reversal of 25630963200 is 236903652.

25630963200 is a `hidden beast` number, since 2 + 563 + 0 + 96 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31218790 + ... + 31219610.

Almost surely, 2^25630963200 is an apocalyptic number.

25630963200 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 25630963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46088376048).

25630963200 is an abundant number, since it is smaller than the sum of its proper divisors (66545788896).

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

25630963200 is a wasteful number, since it uses less digits than its factorization.

25630963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 25630963200 in words is "twenty-five billion, six hundred thirty million, nine hundred sixty-three thousand, two hundred".