25552191564 has 288 divisors, whose sum is σ = 73497715200. Its totient is φ = 7445053440.

The previous prime is 25552191563. The next prime is 25552191569. The reversal of 25552191564 is 46519125552.

25552191564 is a `hidden beast` number, since 2 + 5 + 552 + 1 + 91 + 5 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (25552191563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 62474592 + ... + 62475000.

It is an arithmetic number, because the mean of its divisors is an integer number (255200400).

Almost surely, 2^25552191564 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 25552191564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36748857600).

25552191564 is an abundant number, since it is smaller than the sum of its proper divisors (47945523636).

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

25552191564 is a wasteful number, since it uses less digits than its factorization.

25552191564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 588 counting only the distinct ones).

The product of its digits is 540000, while the sum is 45.

The spelling of 25552191564 in words is "twenty-five billion, five hundred fifty-two million, one hundred ninety-one thousand, five hundred sixty-four".