10749879360 has 560 divisors, whose sum is σ = 42884994240. Its totient is φ = 2533109760.

The previous prime is 10749879317. The next prime is 10749879379. The reversal of 10749879360 is 6397894701.

It is a happy number.

10749879360 is a `hidden beast` number, since 1 + 0 + 7 + 498 + 7 + 93 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10749879297 and 10749879306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10548931 + ... + 10549949.

Almost surely, 2^10749879360 is an apocalyptic number.

10749879360 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 10749879360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21442497120).

10749879360 is an abundant number, since it is smaller than the sum of its proper divisors (32135114880).

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

10749879360 is a wasteful number, since it uses less digits than its factorization.

10749879360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 10749879360 in words is "ten billion, seven hundred forty-nine million, eight hundred seventy-nine thousand, three hundred sixty".