22513256640 has 560 divisors, whose sum is σ = 92196099072. Its totient is φ = 5108189184.

The previous prime is 22513256537. The next prime is 22513256663. The reversal of 22513256640 is 4665231522.

22513256640 is a `hidden beast` number, since 2 + 2 + 5 + 1 + 3 + 2 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22513256595 and 22513256604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30300109 + ... + 30300851.

Almost surely, 2^22513256640 is an apocalyptic number.

22513256640 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 22513256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46098049536).

22513256640 is an abundant number, since it is smaller than the sum of its proper divisors (69682842432).

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

22513256640 is a wasteful number, since it uses less digits than its factorization.

22513256640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 22513256640 in words is "twenty-two billion, five hundred thirteen million, two hundred fifty-six thousand, six hundred forty".