20976094863360 has 1680 divisors, whose sum is σ = 91401645089664. Its totient is φ = 4423297794048.

The previous prime is 20976094863301. The next prime is 20976094863389. The reversal of 20976094863360 is 6336849067902.

20976094863360 is a `hidden beast` number, since 2 + 0 + 9 + 7 + 60 + 9 + 486 + 33 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 11506359409 + ... + 11506361231.

Almost surely, 2^{20976094863360} is an apocalyptic number.

20976094863360 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 20976094863360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45700822544832).

20976094863360 is an abundant number, since it is smaller than the sum of its proper divisors (70425550226304).

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

20976094863360 is an equidigital number, since it uses as much as digits as its factorization.

20976094863360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 20976094863360 in words is "twenty trillion, nine hundred seventy-six billion, ninety-four million, eight hundred sixty-three thousand, three hundred sixty".