10930757760 has 768 divisors, whose sum is σ = 44350416000. Its totient is φ = 2536095744.

The previous prime is 10930757743. The next prime is 10930757833. The reversal of 10930757760 is 6775703901.

10930757760 is a `hidden beast` number, since 10 + 9 + 3 + 0 + 7 + 577 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55485982 + ... + 55486178.

Almost surely, 2^10930757760 is an apocalyptic number.

10930757760 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 10930757760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22175208000).

10930757760 is an abundant number, since it is smaller than the sum of its proper divisors (33419658240).

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

10930757760 is a wasteful number, since it uses less digits than its factorization.

10930757760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 45.

The spelling of 10930757760 in words is "ten billion, nine hundred thirty million, seven hundred fifty-seven thousand, seven hundred sixty".