25266686400 has 840 divisors, whose sum is σ = 101220584960. Its totient is φ = 6158592000.

The previous prime is 25266686383. The next prime is 25266686453. The reversal of 25266686400 is 468666252.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 76334235 + ... + 76334565.

Almost surely, 2^25266686400 is an apocalyptic number.

25266686400 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 25266686400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50610292480).

25266686400 is an abundant number, since it is smaller than the sum of its proper divisors (75953898560).

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

25266686400 is a wasteful number, since it uses less digits than its factorization.

25266686400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 25266686400 in words is "twenty-five billion, two hundred sixty-six million, six hundred eighty-six thousand, four hundred".