20893276293120 has 2304 divisors, whose sum is σ = 92313885081600. Its totient is φ = 4245034106880.

The previous prime is 20893276293031. The next prime is 20893276293161. The reversal of 20893276293120 is 2139267239802.

20893276293120 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 3 + 2 + 7 + 629 + 3 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87419565961 + ... + 87419566199.

It is an arithmetic number, because the mean of its divisors is an integer number (40066790400).

Almost surely, 2^{20893276293120} is an apocalyptic number.

20893276293120 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 20893276293120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46156942540800).

20893276293120 is an abundant number, since it is smaller than the sum of its proper divisors (71420608788480).

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

20893276293120 is a wasteful number, since it uses less digits than its factorization.

20893276293120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 20893276293120 in words is "twenty trillion, eight hundred ninety-three billion, two hundred seventy-six million, two hundred ninety-three thousand, one hundred twenty".