25919806464 has 176 divisors, whose sum is σ = 77740147200. Its totient is φ = 8529850368.

The previous prime is 25919806417. The next prime is 25919806469. The reversal of 25919806464 is 46460891952.

25919806464 is a `hidden beast` number, since 2 + 5 + 91 + 98 + 0 + 6 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25919806464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25919806469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2178259 + ... + 2190125.

Almost surely, 2^25919806464 is an apocalyptic number.

25919806464 is a gapful number since it is divisible by the number (24) 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 25919806464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38870073600).

25919806464 is an abundant number, since it is smaller than the sum of its proper divisors (51820340736).

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

25919806464 is a wasteful number, since it uses less digits than its factorization.

25919806464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11975 (or 11951 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 25919806464 in words is "twenty-five billion, nine hundred nineteen million, eight hundred six thousand, four hundred sixty-four".