20932003048320 has 3072 divisors, whose sum is σ = 99620499283200. Its totient is φ = 4153623183360.

The previous prime is 20932003048267. The next prime is 20932003048367. The reversal of 20932003048320 is 2384030023902.

20932003048320 is a `hidden beast` number, since 2 + 0 + 9 + 3 + 20 + 0 + 304 + 8 + 320 = 666.

It is a super-2 number, since 2×20932003048320² (a number of 27 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15157134030 + ... + 15157135410.

Almost surely, 2^{20932003048320} is an apocalyptic number.

20932003048320 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 20932003048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49810249641600).

20932003048320 is an abundant number, since it is smaller than the sum of its proper divisors (78688496234880).

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

20932003048320 is a wasteful number, since it uses less digits than its factorization.

20932003048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 20932003048320 in words is "twenty trillion, nine hundred thirty-two billion, three million, forty-eight thousand, three hundred twenty".