20413886976000 has 2080 divisors, whose sum is σ = 91580559333120. Its totient is φ = 4419256320000.

The previous prime is 20413886975957. The next prime is 20413886976059. The reversal of 20413886976000 is 67968831402.

20413886976000 is a `hidden beast` number, since 2 + 0 + 413 + 8 + 86 + 97 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5515774150 + ... + 5515777850.

It is an arithmetic number, because the mean of its divisors is an integer number (44029115064).

Almost surely, 2^{20413886976000} is an apocalyptic number.

20413886976000 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 20413886976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45790279666560).

20413886976000 is an abundant number, since it is smaller than the sum of its proper divisors (71166672357120).

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

20413886976000 is an equidigital number, since it uses as much as digits as its factorization.

20413886976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3778 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 20413886976000 in words is "twenty trillion, four hundred thirteen billion, eight hundred eighty-six million, nine hundred seventy-six thousand".