20376824832000 has 4032 divisors, whose sum is σ = 95972426596800. Its totient is φ = 4250979532800.

The previous prime is 20376824831999. The next prime is 20376824832041. The reversal of 20376824832000 is 23842867302.

20376824832000 is a `hidden beast` number, since 2 + 0 + 3 + 76 + 82 + 483 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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, 228953087956 + ... + 228953088044.

Almost surely, 2^{20376824832000} is an apocalyptic number.

20376824832000 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 20376824832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47986213298400).

20376824832000 is an abundant number, since it is smaller than the sum of its proper divisors (75595601764800).

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

20376824832000 is an equidigital number, since it uses as much as digits as its factorization.

20376824832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20376824832000 in words is "twenty trillion, three hundred seventy-six billion, eight hundred twenty-four million, eight hundred thirty-two thousand".