20972310477216 has 384 divisors, whose sum is σ = 65515268206080. Its totient is φ = 5747406077952.

The previous prime is 20972310477193. The next prime is 20972310477263. The reversal of 20972310477216 is 61277401327902.

It is a super-2 number, since 2×20972310477216² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8013873540 + ... + 8013876156.

It is an arithmetic number, because the mean of its divisors is an integer number (170612677620).

Almost surely, 2^{20972310477216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20972310477216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32757634103040).

20972310477216 is an abundant number, since it is smaller than the sum of its proper divisors (44542957728864).

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

20972310477216 is a wasteful number, since it uses less digits than its factorization.

20972310477216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5208 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 20972310477216 in words is "twenty trillion, nine hundred seventy-two billion, three hundred ten million, four hundred seventy-seven thousand, two hundred sixteen".