10772277120 has 768 divisors, whose sum is σ = 43873202880. Its totient is φ = 2406481920.

The previous prime is 10772277097. The next prime is 10772277133. The reversal of 10772277120 is 2177227701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 78629692 + ... + 78629828.

Almost surely, 2^10772277120 is an apocalyptic number.

10772277120 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 10772277120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21936601440).

10772277120 is an abundant number, since it is smaller than the sum of its proper divisors (33100925760).

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

10772277120 is a wasteful number, since it uses less digits than its factorization.

10772277120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 19208, while the sum is 36.

It can be divided in two parts, 107 and 72277120, that added together give a palindrome (72277227).

The spelling of 10772277120 in words is "ten billion, seven hundred seventy-two million, two hundred seventy-seven thousand, one hundred twenty".