20937713328 has 800 divisors, whose sum is σ = 77540672000. Its totient is φ = 5431878144.

The previous prime is 20937713299. The next prime is 20937713351. The reversal of 20937713328 is 82331773902.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 312503151 + ... + 312503217.

It is an arithmetic number, because the mean of its divisors is an integer number (96925840).

Almost surely, 2^20937713328 is an apocalyptic number.

20937713328 is a gapful number since it is divisible by the number (28) 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 20937713328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38770336000).

20937713328 is an abundant number, since it is smaller than the sum of its proper divisors (56602958672).

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

20937713328 is a wasteful number, since it uses less digits than its factorization.

20937713328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 20937713328 in words is "twenty billion, nine hundred thirty-seven million, seven hundred thirteen thousand, three hundred twenty-eight".