20789413701120 has 480 divisors, whose sum is σ = 75838381613280. Its totient is φ = 5248643235840.

The previous prime is 20789413701107. The next prime is 20789413701137. The reversal of 20789413701120 is 2110731498702.

20789413701120 is a `hidden beast` number, since 2 + 0 + 78 + 94 + 1 + 370 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709594312 + ... + 709623608.

It is an arithmetic number, because the mean of its divisors is an integer number (157996628361).

Almost surely, 2^{20789413701120} is an apocalyptic number.

20789413701120 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 20789413701120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37919190806640).

20789413701120 is an abundant number, since it is smaller than the sum of its proper divisors (55048967912160).

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

20789413701120 is a wasteful number, since it uses less digits than its factorization.

20789413701120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30966 (or 30947 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 20789413701120 in words is "twenty trillion, seven hundred eighty-nine billion, four hundred thirteen million, seven hundred one thousand, one hundred twenty".