25563952800 has 216 divisors, whose sum is σ = 94889864160. Its totient is φ = 6458227200.

The previous prime is 25563952789. The next prime is 25563952811. The reversal of 25563952800 is 825936552.

25563952800 is a `hidden beast` number, since 2 + 5 + 5 + 639 + 5 + 2 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25563952789) and next prime (25563952811).

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 35 ways as a sum of consecutive naturals, for example, 43365 + ... + 230235.

Almost surely, 2^25563952800 is an apocalyptic number.

25563952800 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 25563952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47444932080).

25563952800 is an abundant number, since it is smaller than the sum of its proper divisors (69325911360).

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

25563952800 is a wasteful number, since it uses less digits than its factorization.

25563952800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186916 (or 186900 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 25563952800 in words is "twenty-five billion, five hundred sixty-three million, nine hundred fifty-two thousand, eight hundred".