20902921200 has 720 divisors, whose sum is σ = 89373922560. Its totient is φ = 4415201280.

The previous prime is 20902921199. The next prime is 20902921241. The reversal of 20902921200 is 212920902.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×20902921200² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25275187 + ... + 25276013.

It is an arithmetic number, because the mean of its divisors is an integer number (124130448).

Almost surely, 2^20902921200 is an apocalyptic number.

20902921200 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 20902921200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44686961280).

20902921200 is an abundant number, since it is smaller than the sum of its proper divisors (68471001360).

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

20902921200 is a wasteful number, since it uses less digits than its factorization.

20902921200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 934 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 20902921200 in words is "twenty billion, nine hundred two million, nine hundred twenty-one thousand, two hundred".