20931001888320 has 168 divisors, whose sum is σ = 74660367198144. Its totient is φ = 5581600482816.

The previous prime is 20931001888267. The next prime is 20931001888351. The reversal of 20931001888320 is 2388810013902.

It is a happy number.

20931001888320 is a `hidden beast` number, since 2 + 0 + 9 + 310 + 0 + 1 + 8 + 8 + 8 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 134509444 + ... + 134664963.

It is an arithmetic number, because the mean of its divisors is an integer number (444406947608).

Almost surely, 2^{20931001888320} is an apocalyptic number.

20931001888320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20931001888320 is an abundant number, since it is smaller than the sum of its proper divisors (53729365309824).

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

20931001888320 is an equidigital number, since it uses as much as digits as its factorization.

20931001888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269174439 (or 269174417 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 20931001888320 in words is "twenty trillion, nine hundred thirty-one billion, one million, eight hundred eighty-eight thousand, three hundred twenty".