22525260576 has 192 divisors, whose sum is σ = 77055245568. Its totient is φ = 5591236608.

The previous prime is 22525260553. The next prime is 22525260577. The reversal of 22525260576 is 67506252522.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (22525260577) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72676 + ... + 224348.

It is an arithmetic number, because the mean of its divisors is an integer number (401329404).

Almost surely, 2^22525260576 is an apocalyptic number.

22525260576 is a gapful number since it is divisible by the number (26) 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 22525260576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38527622784).

22525260576 is an abundant number, since it is smaller than the sum of its proper divisors (54529984992).

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

22525260576 is a wasteful number, since it uses less digits than its factorization.

22525260576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151723 (or 151715 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 22525260576 in words is "twenty-two billion, five hundred twenty-five million, two hundred sixty thousand, five hundred seventy-six".