20533401313920 has 1536 divisors, whose sum is σ = 82741748832000. Its totient is φ = 4812034867200.

The previous prime is 20533401313891. The next prime is 20533401313963. The reversal of 20533401313920 is 2931310433502.

20533401313920 is a `hidden beast` number, since 2 + 0 + 5 + 334 + 0 + 1 + 313 + 9 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 191 ways as a sum of consecutive naturals, for example, 22102692016 + ... + 22102692944.

Almost surely, 2^{20533401313920} is an apocalyptic number.

20533401313920 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 20533401313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41370874416000).

20533401313920 is an abundant number, since it is smaller than the sum of its proper divisors (62208347518080).

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

20533401313920 is an equidigital number, since it uses as much as digits as its factorization.

20533401313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 20533401313920 in words is "twenty trillion, five hundred thirty-three billion, four hundred one million, three hundred thirteen thousand, nine hundred twenty".