22061639208960 has 1872 divisors, whose sum is σ = 90983041478784. Its totient is φ = 5107800342528.

The previous prime is 22061639208953. The next prime is 22061639208989. The reversal of 22061639208960 is 6980293616022.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22061639208897 and 22061639208906.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14297885949 + ... + 14297887491.

It is an arithmetic number, because the mean of its divisors is an integer number (48602052072).

Almost surely, 2^{22061639208960} is an apocalyptic number.

22061639208960 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 22061639208960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45491520739392).

22061639208960 is an abundant number, since it is smaller than the sum of its proper divisors (68921402269824).

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

22061639208960 is a wasteful number, since it uses less digits than its factorization.

22061639208960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1630 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 22061639208960 in words is "twenty-two trillion, sixty-one billion, six hundred thirty-nine million, two hundred eight thousand, nine hundred sixty".