10976237959680 has 2400 divisors, whose sum is σ = 48703021646400. Its totient is φ = 2336524517376.

The previous prime is 10976237959457. The next prime is 10976237959691. The reversal of 10976237959680 is 8695973267901.

10976237959680 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 6 + 23 + 7 + 9 + 596 + 8 + 0 = 666.

10976237959680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 10976237959599 and 10976237959608.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 186037931491 + ... + 186037931549.

It is an arithmetic number, because the mean of its divisors is an integer number (20292925686).

Almost surely, 2^{10976237959680} is an apocalyptic number.

10976237959680 is a gapful number since it is divisible by the number (10) 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 10976237959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24351510823200).

10976237959680 is an abundant number, since it is smaller than the sum of its proper divisors (37726783686720).

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

10976237959680 is an frugal number, since it uses more digits than its factorization.

10976237959680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 10976237959680 in words is "ten trillion, nine hundred seventy-six billion, two hundred thirty-seven million, nine hundred fifty-nine thousand, six hundred eighty".