20974511712 has 576 divisors, whose sum is σ = 73205379072. Its totient is φ = 5139763200.

The previous prime is 20974511707. The next prime is 20974511731. The reversal of 20974511712 is 21711547902.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133595538 + ... + 133595694.

It is an arithmetic number, because the mean of its divisors is an integer number (127092672).

Almost surely, 2^20974511712 is an apocalyptic number.

20974511712 is a gapful number since it is divisible by the number (22) 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 20974511712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36602689536).

20974511712 is an abundant number, since it is smaller than the sum of its proper divisors (52230867360).

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

20974511712 is a wasteful number, since it uses less digits than its factorization.

20974511712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 20974511712 in words is "twenty billion, nine hundred seventy-four million, five hundred eleven thousand, seven hundred twelve".