10776117504440 has 128 divisors (see below), whose sum is σ = 24598288915200. Its totient is φ = 4248200478720.

The previous prime is 10776117504407. The next prime is 10776117504457. The reversal of 10776117504440 is 4440571167701.

10776117504440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10776117504440² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1810196504 + ... + 1810202456.

It is an arithmetic number, because the mean of its divisors is an integer number (192174132150).

Almost surely, 2^{10776117504440} is an apocalyptic number.

10776117504440 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 10776117504440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12299144457600).

10776117504440 is an abundant number, since it is smaller than the sum of its proper divisors (13822171410760).

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

10776117504440 is a wasteful number, since it uses less digits than its factorization.

10776117504440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7617 (or 7613 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 47.

The spelling of 10776117504440 in words is "ten trillion, seven hundred seventy-six billion, one hundred seventeen million, five hundred four thousand, four hundred forty".