25506711216 has 320 divisors, whose sum is σ = 86807142400. Its totient is φ = 7017062400.

The previous prime is 25506711203. The next prime is 25506711257. The reversal of 25506711216 is 61211760552.

25506711216 is a `hidden beast` number, since 25 + 506 + 7 + 1 + 121 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 22591740 + ... + 22592868.

It is an arithmetic number, because the mean of its divisors is an integer number (271272320).

Almost surely, 2^25506711216 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 25506711216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43403571200).

25506711216 is an abundant number, since it is smaller than the sum of its proper divisors (61300431184).

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

25506711216 is a wasteful number, since it uses less digits than its factorization.

25506711216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 25506711216 in words is "twenty-five billion, five hundred six million, seven hundred eleven thousand, two hundred sixteen".