25776464700 has 216 divisors, whose sum is σ = 86931904752. Its totient is φ = 5879838720.

The previous prime is 25776464687. The next prime is 25776464743. The reversal of 25776464700 is 746467752.

It is a happy number.

It is a super-2 number, since 2×25776464700² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25776464700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8715622 + ... + 8718578.

It is an arithmetic number, because the mean of its divisors is an integer number (402462522).

Almost surely, 2^25776464700 is an apocalyptic number.

25776464700 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 25776464700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43465952376).

25776464700 is an abundant number, since it is smaller than the sum of its proper divisors (61155440052).

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

25776464700 is a wasteful number, since it uses less digits than its factorization.

25776464700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 48.

The spelling of 25776464700 in words is "twenty-five billion, seven hundred seventy-six million, four hundred sixty-four thousand, seven hundred".