25716398400 has 1008 divisors, whose sum is σ = 118314094080. Its totient is φ = 5337446400.

The previous prime is 25716398387. The next prime is 25716398401. The reversal of 25716398400 is 489361752.

25716398400 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 639 + 8 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×25716398400² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25716398401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29937171 + ... + 29938029.

It is a 2-persistent number, because it is pandigital, and so is 2⋅25716398400 = 51432796800, but 3⋅25716398400 = 77149195200 is not.

Almost surely, 2^25716398400 is an apocalyptic number.

25716398400 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 25716398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59157047040).

25716398400 is an abundant number, since it is smaller than the sum of its proper divisors (92597695680).

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

25716398400 is a wasteful number, since it uses less digits than its factorization.

25716398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 25716398400 in words is "twenty-five billion, seven hundred sixteen million, three hundred ninety-eight thousand, four hundred".