25974574416 has 480 divisors, whose sum is σ = 90127564800. Its totient is φ = 6819240960.

The previous prime is 25974574403. The next prime is 25974574427. The reversal of 25974574416 is 61447547952.

25974574416 is a `hidden beast` number, since 2 + 59 + 7 + 4 + 574 + 4 + 16 = 666.

It is a super-4 number, since 4×25974574416⁴ (a number of 43 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143505846 + ... + 143506026.

It is an arithmetic number, because the mean of its divisors is an integer number (187765760).

Almost surely, 2^25974574416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25974574416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45063782400).

25974574416 is an abundant number, since it is smaller than the sum of its proper divisors (64152990384).

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

25974574416 is a wasteful number, since it uses less digits than its factorization.

25974574416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 398 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 25974574416 in words is "twenty-five billion, nine hundred seventy-four million, five hundred seventy-four thousand, four hundred sixteen".