10756116144 has 160 divisors (see below), whose sum is σ = 32631840000. Its totient is φ = 3382788096.

The previous prime is 10756116143. The next prime is 10756116181. The reversal of 10756116144 is 44161165701.

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 = 10756116099 and 10756116108.

It is not an unprimeable number, because it can be changed into a prime (10756116143) 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, 2106907 + ... + 2112005.

It is an arithmetic number, because the mean of its divisors is an integer number (203949000).

Almost surely, 2^10756116144 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 10756116144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315920000).

10756116144 is an abundant number, since it is smaller than the sum of its proper divisors (21875723856).

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

10756116144 is a wasteful number, since it uses less digits than its factorization.

10756116144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5392 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10756116144 in words is "ten billion, seven hundred fifty-six million, one hundred sixteen thousand, one hundred forty-four".