25201684704 has 144 divisors (see below), whose sum is σ = 77322905856. Its totient is φ = 7166073600.

The previous prime is 25201684691. The next prime is 25201684723. The reversal of 25201684704 is 40748610252.

It is a super-3 number, since 3×25201684704³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979849 + ... + 1005239.

It is an arithmetic number, because the mean of its divisors is an integer number (536964624).

Almost surely, 2^25201684704 is an apocalyptic number.

25201684704 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 25201684704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38661452928).

25201684704 is an abundant number, since it is smaller than the sum of its proper divisors (52121221152).

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

25201684704 is a wasteful number, since it uses less digits than its factorization.

25201684704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25629 (or 25614 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 25201684704 in words is "twenty-five billion, two hundred one million, six hundred eighty-four thousand, seven hundred four".