20104295793120 has 1728 divisors, whose sum is σ = 89742431181312. Its totient is φ = 4049740800000.

The previous prime is 20104295793089. The next prime is 20104295793191. The reversal of 20104295793120 is 2139759240102.

20104295793120 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 4 + 29 + 579 + 31 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8931271995 + ... + 8931274245.

It is an arithmetic number, because the mean of its divisors is an integer number (51934277304).

Almost surely, 2^{20104295793120} is an apocalyptic number.

20104295793120 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 20104295793120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44871215590656).

20104295793120 is an abundant number, since it is smaller than the sum of its proper divisors (69638135388192).

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

20104295793120 is a wasteful number, since it uses less digits than its factorization.

20104295793120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 20104295793120 in words is "twenty trillion, one hundred four billion, two hundred ninety-five million, seven hundred ninety-three thousand, one hundred twenty".