20976068655360 has 2160 divisors, whose sum is σ = 97783955660160. Its totient is φ = 4192321536000.

The previous prime is 20976068655329. The next prime is 20976068655383. The reversal of 20976068655360 is 6355686067902.

20976068655360 is a `hidden beast` number, since 2 + 0 + 9 + 76 + 0 + 6 + 8 + 6 + 553 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2330410860 + ... + 2330419860.

Almost surely, 2^{20976068655360} is an apocalyptic number.

20976068655360 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 20976068655360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48891977830080).

20976068655360 is an abundant number, since it is smaller than the sum of its proper divisors (76807887004800).

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

20976068655360 is a wasteful number, since it uses less digits than its factorization.

20976068655360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9086 (or 9050 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 20976068655360 in words is "twenty trillion, nine hundred seventy-six billion, sixty-eight million, six hundred fifty-five thousand, three hundred sixty".