20976960960 has 672 divisors, whose sum is σ = 81446461440. Its totient is φ = 5076172800.

The previous prime is 20976960959. The next prime is 20976960989. The reversal of 20976960960 is 6906967902.

It is a happy number.

20976960960 is a `hidden beast` number, since 20 + 9 + 7 + 6 + 9 + 609 + 6 + 0 = 666.

It is a super-2 number, since 2×20976960960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20976960897 and 20976960906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77405625 + ... + 77405895.

Almost surely, 2^20976960960 is an apocalyptic number.

20976960960 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 20976960960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40723230720).

20976960960 is an abundant number, since it is smaller than the sum of its proper divisors (60469500480).

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

20976960960 is a wasteful number, since it uses less digits than its factorization.

20976960960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 20976960960 in words is "twenty billion, nine hundred seventy-six million, nine hundred sixty thousand, nine hundred sixty".