22609466880 has 1280 divisors, whose sum is σ = 103349385216. Its totient is φ = 4057989120.

The previous prime is 22609466849. The next prime is 22609466899. The reversal of 22609466880 is 8866490622.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×22609466880² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 130690474 + ... + 130690646.

Almost surely, 2^22609466880 is an apocalyptic number.

22609466880 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 22609466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51674692608).

22609466880 is an abundant number, since it is smaller than the sum of its proper divisors (80739918336).

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

22609466880 is a wasteful number, since it uses less digits than its factorization.

22609466880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 22609466880 in words is "twenty-two billion, six hundred nine million, four hundred sixty-six thousand, eight hundred eighty".