25238474043264 has 384 divisors, whose sum is σ = 78773150008800. Its totient is φ = 7726885896192.

The previous prime is 25238474043241. The next prime is 25238474043283. The reversal of 25238474043264 is 46234047483252.

25238474043264 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 84 + 74 + 0 + 432 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-5 number, since 5×25238474043264⁵ (a number of 68 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 25238474043264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158217754 + ... + 158377190.

Almost surely, 2^{25238474043264} is an apocalyptic number.

25238474043264 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 25238474043264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39386575004400).

25238474043264 is an abundant number, since it is smaller than the sum of its proper divisors (53534675965536).

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

25238474043264 is a wasteful number, since it uses less digits than its factorization.

25238474043264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159670 (or 159655 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 54.

The spelling of 25238474043264 in words is "twenty-five trillion, two hundred thirty-eight billion, four hundred seventy-four million, forty-three thousand, two hundred sixty-four".