20882080306400 has 72 divisors (see below), whose sum is σ = 51202953348120. Its totient is φ = 8316035432960.

The previous prime is 20882080306393. The next prime is 20882080306469. The reversal of 20882080306400 is 460308028802.

It is a super-2 number, since 2×20882080306400² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57313115 + ... + 57676314.

It is an arithmetic number, because the mean of its divisors is an integer number (711152129835).

Almost surely, 2^{20882080306400} is an apocalyptic number.

20882080306400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20882080306400 is an abundant number, since it is smaller than the sum of its proper divisors (30320873041720).

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

20882080306400 is a wasteful number, since it uses less digits than its factorization.

20882080306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114989676 (or 114989663 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 20882080306400 in words is "twenty trillion, eight hundred eighty-two billion, eighty million, three hundred six thousand, four hundred".