10977480305337 has 256 divisors, whose sum is σ = 19565342720000. Its totient is φ = 5432317083648.

The previous prime is 10977480305329. The next prime is 10977480305359. The reversal of 10977480305337 is 73350308477901.

It is not a de Polignac number, because 10977480305337 - 2³ = 10977480305329 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10977480305317) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1681338489 + ... + 1681345017.

It is an arithmetic number, because the mean of its divisors is an integer number (76427120000).

Almost surely, 2^{10977480305337} is an apocalyptic number.

It is an amenable number.

10977480305337 is a deficient number, since it is larger than the sum of its proper divisors (8587862414663).

10977480305337 is a wasteful number, since it uses less digits than its factorization.

10977480305337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6725 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 57.

The spelling of 10977480305337 in words is "ten trillion, nine hundred seventy-seven billion, four hundred eighty million, three hundred five thousand, three hundred thirty-seven".