10930776438330 has 768 divisors, whose sum is σ = 36603976550400. Its totient is φ = 2307254906880.

The previous prime is 10930776438319. The next prime is 10930776438343. The reversal of 10930776438330 is 3383467703901.

10930776438330 is a `hidden beast` number, since 109 + 3 + 0 + 7 + 76 + 438 + 3 + 30 = 666.

10930776438330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1633650285 + ... + 1633656975.

It is an arithmetic number, because the mean of its divisors is an integer number (47661427800).

Almost surely, 2^{10930776438330} is an apocalyptic number.

10930776438330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10930776438330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18301988275200).

10930776438330 is an abundant number, since it is smaller than the sum of its proper divisors (25673200112070).

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

10930776438330 is a wasteful number, since it uses less digits than its factorization.

10930776438330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 54.

The spelling of 10930776438330 in words is "ten trillion, nine hundred thirty billion, seven hundred seventy-six million, four hundred thirty-eight thousand, three hundred thirty".