10777979520 has 768 divisors, whose sum is σ = 48881664000. Its totient is φ = 2120048640.

The previous prime is 10777979483. The next prime is 10777979551. The reversal of 10777979520 is 2597977701.

10777979520 is a `hidden beast` number, since 107 + 7 + 7 + 9 + 7 + 9 + 520 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8426241 + ... + 8427519.

It is an arithmetic number, because the mean of its divisors is an integer number (63648000).

Almost surely, 2^10777979520 is an apocalyptic number.

10777979520 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 10777979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24440832000).

10777979520 is an abundant number, since it is smaller than the sum of its proper divisors (38103684480).

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

10777979520 is a wasteful number, since it uses less digits than its factorization.

10777979520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1326 counting only the distinct ones).

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

The spelling of 10777979520 in words is "ten billion, seven hundred seventy-seven million, nine hundred seventy-nine thousand, five hundred twenty".