10779877178880 has 480 divisors, whose sum is σ = 35892320431968. Its totient is φ = 2759874969600.

The previous prime is 10779877178869. The next prime is 10779877178957. The reversal of 10779877178880 is 8887177897701.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 10779877178796 and 10779877178805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1169052670 + ... + 1169061890.

Almost surely, 2^{10779877178880} is an apocalyptic number.

10779877178880 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 10779877178880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17946160215984).

10779877178880 is an abundant number, since it is smaller than the sum of its proper divisors (25112443253088).

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

10779877178880 is an equidigital number, since it uses as much as digits as its factorization.

10779877178880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9486 (or 9441 counting only the distinct ones).

The product of its (nonzero) digits is 619573248, while the sum is 78.

The spelling of 10779877178880 in words is "ten trillion, seven hundred seventy-nine billion, eight hundred seventy-seven million, one hundred seventy-eight thousand, eight hundred eighty".