22053882825 has 384 divisors, whose sum is σ = 50396774400. Its totient is φ = 9331200000.

The previous prime is 22053882779. The next prime is 22053882827. The reversal of 22053882825 is 52828835022.

22053882825 is a `hidden beast` number, since 220 + 5 + 388 + 28 + 25 = 666.

It is not a de Polignac number, because 22053882825 - 2¹⁴ = 22053866441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22053882827) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 87863950 + ... + 87864200.

It is an arithmetic number, because the mean of its divisors is an integer number (131241600).

Almost surely, 2^22053882825 is an apocalyptic number.

22053882825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22053882825 is an abundant number, since it is smaller than the sum of its proper divisors (28342891575).

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

22053882825 is a wasteful number, since it uses less digits than its factorization.

22053882825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 22053882825 in words is "twenty-two billion, fifty-three million, eight hundred eighty-two thousand, eight hundred twenty-five".