25685267400 has 768 divisors, whose sum is σ = 99726950400. Its totient is φ = 6035420160.

The previous prime is 25685267389. The next prime is 25685267407. The reversal of 25685267400 is 476258652.

25685267400 is a `hidden beast` number, since 2 + 56 + 8 + 526 + 74 + 0 + 0 = 666.

It is a super-2 number, since 2×25685267400² (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 not an unprimeable number, because it can be changed into a prime (25685267407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 202246137 + ... + 202246263.

It is an arithmetic number, because the mean of its divisors is an integer number (129852800).

Almost surely, 2^25685267400 is an apocalyptic number.

25685267400 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 25685267400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49863475200).

25685267400 is an abundant number, since it is smaller than the sum of its proper divisors (74041683000).

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

25685267400 is a wasteful number, since it uses less digits than its factorization.

25685267400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 25685267400 in words is "twenty-five billion, six hundred eighty-five million, two hundred sixty-seven thousand, four hundred".