20351984976000 has 1536 divisors, whose sum is σ = 82460082931200. Its totient is φ = 4784541696000.

The previous prime is 20351984975989. The next prime is 20351984976067. The reversal of 20351984976000 is 67948915302.

20351984976000 is a `hidden beast` number, since 2 + 0 + 3 + 5 + 1 + 98 + 497 + 60 + 0 + 0 = 666.

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, 2328331630 + ... + 2328340370.

It is an arithmetic number, because the mean of its divisors is an integer number (53684949825).

It is a 1-persistent number, because it is pandigital, but 2⋅20351984976000 = 40703969952000 is not.

Almost surely, 2^{20351984976000} is an apocalyptic number.

20351984976000 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 20351984976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41230041465600).

20351984976000 is an abundant number, since it is smaller than the sum of its proper divisors (62108097955200).

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

20351984976000 is a wasteful number, since it uses less digits than its factorization.

20351984976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8855 (or 8830 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 20351984976000 in words is "twenty trillion, three hundred fifty-one billion, nine hundred eighty-four million, nine hundred seventy-six thousand".