20939212800 has 1152 divisors, whose sum is σ = 89937993600. Its totient is φ = 4777574400.

The previous prime is 20939212709. The next prime is 20939212807. The reversal of 20939212800 is 821293902.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×20939212800³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20939212807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1231718392 + ... + 1231718408.

It is an arithmetic number, because the mean of its divisors is an integer number (78071175).

Almost surely, 2^20939212800 is an apocalyptic number.

20939212800 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 20939212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44968996800).

20939212800 is an abundant number, since it is smaller than the sum of its proper divisors (68998780800).

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

20939212800 is an equidigital number, since it uses as much as digits as its factorization.

20939212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 20939212800 in words is "twenty billion, nine hundred thirty-nine million, two hundred twelve thousand, eight hundred".