20976742886400 has 3696 divisors, whose sum is σ = 94882429368000. Its totient is φ = 4588382453760.

The previous prime is 20976742886311. The next prime is 20976742886413. The reversal of 20976742886400 is 468824767902.

20976742886400 is a `hidden beast` number, since 2 + 0 + 97 + 6 + 7 + 428 + 86 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 185634892744 + ... + 185634892856.

Almost surely, 2^{20976742886400} is an apocalyptic number.

20976742886400 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 20976742886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47441214684000).

20976742886400 is an abundant number, since it is smaller than the sum of its proper divisors (73905686481600).

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

20976742886400 is an equidigital number, since it uses as much as digits as its factorization.

20976742886400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 20976742886400 in words is "twenty trillion, nine hundred seventy-six billion, seven hundred forty-two million, eight hundred eighty-six thousand, four hundred".