20972963200 has 192 divisors, whose sum is σ = 61123230720. Its totient is φ = 6958540800.

The previous prime is 20972963177. The next prime is 20972963237. The reversal of 20972963200 is 236927902.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679299 + ... + 709501.

It is an arithmetic number, because the mean of its divisors is an integer number (318350160).

Almost surely, 2^20972963200 is an apocalyptic number.

20972963200 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 20972963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30561615360).

20972963200 is an abundant number, since it is smaller than the sum of its proper divisors (40150267520).

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

20972963200 is a wasteful number, since it uses less digits than its factorization.

20972963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30265 (or 30248 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 40.

The spelling of 20972963200 in words is "twenty billion, nine hundred seventy-two million, nine hundred sixty-three thousand, two hundred".