21920530495680 has 560 divisors, whose sum is σ = 80783977237920. Its totient is φ = 5635511304192.

The previous prime is 21920530495657. The next prime is 21920530495751. The reversal of 21920530495680 is 8659403502912.

21920530495680 is a `hidden beast` number, since 2 + 1 + 9 + 2 + 0 + 5 + 30 + 49 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 513376092 + ... + 513418788.

Almost surely, 2^{21920530495680} is an apocalyptic number.

21920530495680 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 21920530495680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40391988618960).

21920530495680 is an abundant number, since it is smaller than the sum of its proper divisors (58863446742240).

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

21920530495680 is a wasteful number, since it uses less digits than its factorization.

21920530495680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43438 (or 43419 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 21920530495680 in words is "twenty-one trillion, nine hundred twenty billion, five hundred thirty million, four hundred ninety-five thousand, six hundred eighty".