22072580766720 has 1760 divisors, whose sum is σ = 90555191502336. Its totient is φ = 5088912998400.

The previous prime is 22072580766671. The next prime is 22072580766767. The reversal of 22072580766720 is 2766708527022.

It is a tau number, because it is divible by the number of its divisors (1760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22138997262 + ... + 22138998258.

Almost surely, 2^{22072580766720} is an apocalyptic number.

22072580766720 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 22072580766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45277595751168).

22072580766720 is an abundant number, since it is smaller than the sum of its proper divisors (68482610735616).

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

22072580766720 is a wasteful number, since it uses less digits than its factorization.

22072580766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1252 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 22072580766720 in words is "twenty-two trillion, seventy-two billion, five hundred eighty million, seven hundred sixty-six thousand, seven hundred twenty".