10772116344 has 128 divisors (see below), whose sum is σ = 33696000000. Its totient is φ = 3158956800.

The previous prime is 10772116273. The next prime is 10772116349. The reversal of 10772116344 is 44361127701.

10772116344 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 2 + 11 + 634 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10772116299 and 10772116308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10772116349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532 + ... + 146780.

It is an arithmetic number, because the mean of its divisors is an integer number (263250000).

Almost surely, 2^10772116344 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 10772116344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16848000000).

10772116344 is an abundant number, since it is smaller than the sum of its proper divisors (22923883656).

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

10772116344 is a wasteful number, since it uses less digits than its factorization.

10772116344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146306 (or 146296 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 10772116344 in words is "ten billion, seven hundred seventy-two million, one hundred sixteen thousand, three hundred forty-four".