22525553160 has 192 divisors, whose sum is σ = 79952071680. Its totient is φ = 5454673920.

The previous prime is 22525553147. The next prime is 22525553201. The reversal of 22525553160 is 6135552522.

22525553160 is a `hidden beast` number, since 2 + 25 + 25 + 553 + 1 + 60 = 666.

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 47 ways as a sum of consecutive naturals, for example, 4301904 + ... + 4307136.

It is an arithmetic number, because the mean of its divisors is an integer number (416417040).

Almost surely, 2^22525553160 is an apocalyptic number.

22525553160 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 22525553160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39976035840).

22525553160 is an abundant number, since it is smaller than the sum of its proper divisors (57426518520).

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

22525553160 is a wasteful number, since it uses less digits than its factorization.

22525553160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6348 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 22525553160 in words is "twenty-two billion, five hundred twenty-five million, five hundred fifty-three thousand, one hundred sixty".