25161585372 has 144 divisors (see below), whose sum is σ = 79436028672. Its totient is φ = 6524029440.

The previous prime is 25161585353. The next prime is 25161585419. The reversal of 25161585372 is 27358516152.

25161585372 is a `hidden beast` number, since 2 + 5 + 1 + 61 + 58 + 537 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1636143 + ... + 1651449.

It is an arithmetic number, because the mean of its divisors is an integer number (551639088).

Almost surely, 2^25161585372 is an apocalyptic number.

25161585372 is a gapful number since it is divisible by the number (22) 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 25161585372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39718014336).

25161585372 is an abundant number, since it is smaller than the sum of its proper divisors (54274443300).

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

25161585372 is a wasteful number, since it uses less digits than its factorization.

25161585372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15928 (or 15923 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The spelling of 25161585372 in words is "twenty-five billion, one hundred sixty-one million, five hundred eighty-five thousand, three hundred seventy-two".