10977482880 has 960 divisors, whose sum is σ = 48785457600. Its totient is φ = 2303188992.

The previous prime is 10977482851. The next prime is 10977482911. The reversal of 10977482880 is 8828477901.

It is a happy number.

10977482880 is a `hidden beast` number, since 10 + 9 + 77 + 482 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 119 ways as a sum of consecutive naturals, for example, 61326631 + ... + 61326809.

It is an arithmetic number, because the mean of its divisors is an integer number (50818185).

Almost surely, 2^10977482880 is an apocalyptic number.

10977482880 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 10977482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24392728800).

10977482880 is an abundant number, since it is smaller than the sum of its proper divisors (37807974720).

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

10977482880 is a wasteful number, since it uses less digits than its factorization.

10977482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 10977482880 in words is "ten billion, nine hundred seventy-seven million, four hundred eighty-two thousand, eight hundred eighty".