10977559184928 has 384 divisors, whose sum is σ = 35457910548480. Its totient is φ = 2902508421120.

The previous prime is 10977559184909. The next prime is 10977559184993. The reversal of 10977559184928 is 82948195577901.

It is a Smith number, since the sum of its digits (75) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10977559184928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200041078 + ... + 200095946.

It is an arithmetic number, because the mean of its divisors is an integer number (92338308720).

Almost surely, 2^{10977559184928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10977559184928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17728955274240).

10977559184928 is an abundant number, since it is smaller than the sum of its proper divisors (24480351363552).

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

10977559184928 is a wasteful number, since it uses less digits than its factorization.

10977559184928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55200 (or 55192 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 75.

The spelling of 10977559184928 in words is "ten trillion, nine hundred seventy-seven billion, five hundred fifty-nine million, one hundred eighty-four thousand, nine hundred twenty-eight".