10977115731372 has 432 divisors, whose sum is σ = 34163772656832. Its totient is φ = 2957249433600.

The previous prime is 10977115731347. The next prime is 10977115731431. The reversal of 10977115731372 is 27313751177901.

10977115731372 is a `hidden beast` number, since 1 + 0 + 97 + 7 + 1 + 157 + 31 + 372 = 666.

It is a super-3 number, since 3×10977115731372³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 954775128 + ... + 954786624.

It is an arithmetic number, because the mean of its divisors is an integer number (79082807076).

Almost surely, 2^{10977115731372} is an apocalyptic number.

10977115731372 is a gapful number since it is divisible by the number (12) 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 10977115731372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17081886328416).

10977115731372 is an abundant number, since it is smaller than the sum of its proper divisors (23186656925460).

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

10977115731372 is a wasteful number, since it uses less digits than its factorization.

10977115731372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11878 (or 11866 counting only the distinct ones).

The product of its (nonzero) digits is 1944810, while the sum is 54.

The spelling of 10977115731372 in words is "ten trillion, nine hundred seventy-seven billion, one hundred fifteen million, seven hundred thirty-one thousand, three hundred seventy-two".