20807090304 has 1152 divisors, whose sum is σ = 82275076800. Its totient is φ = 4598415360.

The previous prime is 20807090299. The next prime is 20807090327. The reversal of 20807090304 is 40309070802.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 562353774 + ... + 562353810.

Almost surely, 2^20807090304 is an apocalyptic number.

20807090304 is a gapful number since it is divisible by the number (24) 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 20807090304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41137538400).

20807090304 is an abundant number, since it is smaller than the sum of its proper divisors (61467986496).

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

20807090304 is a wasteful number, since it uses less digits than its factorization.

20807090304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The spelling of 20807090304 in words is "twenty billion, eight hundred seven million, ninety thousand, three hundred four".