22612680900 has 864 divisors, whose sum is σ = 85079554560. Its totient is φ = 5173217280.

The previous prime is 22612680899. The next prime is 22612680911. The reversal of 22612680900 is 908621622.

It is a happy number.

It is a super-2 number, since 2×22612680900² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 337502667 + ... + 337502733.

Almost surely, 2^22612680900 is an apocalyptic number.

22612680900 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 22612680900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42539777280).

22612680900 is an abundant number, since it is smaller than the sum of its proper divisors (62466873660).

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

22612680900 is a wasteful number, since it uses less digits than its factorization.

22612680900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 22612680900 in words is "twenty-two billion, six hundred twelve million, six hundred eighty thousand, nine hundred".