25867637664 has 96 divisors (see below), whose sum is σ = 74141210304. Its totient is φ = 7831726080.

The previous prime is 25867637623. The next prime is 25867637681. The reversal of 25867637664 is 46673676852.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 25867637598 and 25867637607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249542 + ... + 1270074.

It is an arithmetic number, because the mean of its divisors is an integer number (772304274).

Almost surely, 2^25867637664 is an apocalyptic number.

25867637664 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 25867637664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37070605152).

25867637664 is an abundant number, since it is smaller than the sum of its proper divisors (48273572640).

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

25867637664 is a wasteful number, since it uses less digits than its factorization.

25867637664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21750 (or 21742 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 60.

The spelling of 25867637664 in words is "twenty-five billion, eight hundred sixty-seven million, six hundred thirty-seven thousand, six hundred sixty-four".