25887412800 has 252 divisors, whose sum is σ = 92859735540. Its totient is φ = 6839562240.

The previous prime is 25887412781. The next prime is 25887412807. The reversal of 25887412800 is 821478852.

It is a happy number.

25887412800 is a `hidden beast` number, since 2 + 588 + 7 + 41 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3054993984 + 22832418816 = 55272^2 + 151104^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25887412807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1561354 + ... + 1577846.

Almost surely, 2^25887412800 is an apocalyptic number.

25887412800 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 25887412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46429867770).

25887412800 is an abundant number, since it is smaller than the sum of its proper divisors (66972322740).

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

25887412800 is a wasteful number, since it uses less digits than its factorization.

25887412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16630 (or 16612 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

The spelling of 25887412800 in words is "twenty-five billion, eight hundred eighty-seven million, four hundred twelve thousand, eight hundred".