20922216480 has 216 divisors, whose sum is σ = 78478417836. Its totient is φ = 5072010240.

The previous prime is 20922216467. The next prime is 20922216499. The reversal of 20922216480 is 8461222902.

20922216480 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 2 + 2 + 1 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19466946576 + 1455269904 = 139524^2 + 38148^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 114202 + ... + 234278.

Almost surely, 2^20922216480 is an apocalyptic number.

20922216480 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 20922216480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39239208918).

20922216480 is an abundant number, since it is smaller than the sum of its proper divisors (57556201356).

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

20922216480 is a wasteful number, since it uses less digits than its factorization.

20922216480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120120 (or 120098 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 20922216480 in words is "twenty billion, nine hundred twenty-two million, two hundred sixteen thousand, four hundred eighty".