25220432160 has 960 divisors, whose sum is σ = 112405708800. Its totient is φ = 5173217280.

The previous prime is 25220432147. The next prime is 25220432179. The reversal of 25220432160 is 6123402252.

It is a happy number.

25220432160 is a `hidden beast` number, since 2 + 5 + 220 + 432 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 126735741 + ... + 126735939.

It is an arithmetic number, because the mean of its divisors is an integer number (117089280).

Almost surely, 2^25220432160 is an apocalyptic number.

25220432160 is a gapful number since it is divisible by the number (20) 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 25220432160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56202854400).

25220432160 is an abundant number, since it is smaller than the sum of its proper divisors (87185276640).

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

25220432160 is a wasteful number, since it uses less digits than its factorization.

25220432160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 25220432160 in words is "twenty-five billion, two hundred twenty million, four hundred thirty-two thousand, one hundred sixty".