20902492800 has 1536 divisors, whose sum is σ = 98350848000. Its totient is φ = 4220190720.

The previous prime is 20902492799. The next prime is 20902492811. The reversal of 20902492800 is 829420902.

20902492800 is a `hidden beast` number, since 2 + 0 + 90 + 2 + 492 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195350347 + ... + 195350453.

It is an arithmetic number, because the mean of its divisors is an integer number (64030500).

Almost surely, 2^20902492800 is an apocalyptic number.

20902492800 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 20902492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49175424000).

20902492800 is an abundant number, since it is smaller than the sum of its proper divisors (77448355200).

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

20902492800 is a wasteful number, since it uses less digits than its factorization.

20902492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 20902492800 in words is "twenty billion, nine hundred two million, four hundred ninety-two thousand, eight hundred".