25079894784 has 576 divisors, whose sum is σ = 91424686080. Its totient is φ = 6623907840.

The previous prime is 25079894779. The next prime is 25079894809. The reversal of 25079894784 is 48749897052.

25079894784 is a `hidden beast` number, since 2 + 507 + 9 + 8 + 9 + 47 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×25079894784² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34497429 + ... + 34498155.

Almost surely, 2^25079894784 is an apocalyptic number.

25079894784 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 25079894784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45712343040).

25079894784 is an abundant number, since it is smaller than the sum of its proper divisors (66344791296).

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

25079894784 is a wasteful number, since it uses less digits than its factorization.

25079894784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 25079894784 in words is "twenty-five billion, seventy-nine million, eight hundred ninety-four thousand, seven hundred eighty-four".