20974920960 has 576 divisors, whose sum is σ = 81823053312. Its totient is φ = 4470079488.

The previous prime is 20974920959. The next prime is 20974920997. The reversal of 20974920960 is 6902947902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 90021004 + ... + 90021236.

It is an arithmetic number, because the mean of its divisors is an integer number (142053912).

Almost surely, 2^20974920960 is an apocalyptic number.

20974920960 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 20974920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40911526656).

20974920960 is an abundant number, since it is smaller than the sum of its proper divisors (60848132352).

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

20974920960 is a wasteful number, since it uses less digits than its factorization.

20974920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 20974920960 in words is "twenty billion, nine hundred seventy-four million, nine hundred twenty thousand, nine hundred sixty".