10935336960 has 380 divisors, whose sum is σ = 39585765648. Its totient is φ = 2887778304.

The previous prime is 10935336949. The next prime is 10935337019. The reversal of 10935336960 is 6963353901.

10935336960 is a `hidden beast` number, since 109 + 3 + 533 + 6 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106168269 + ... + 106168371.

Almost surely, 2^10935336960 is an apocalyptic number.

10935336960 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 10935336960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19792882824).

10935336960 is an abundant number, since it is smaller than the sum of its proper divisors (28650428688).

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

10935336960 is an frugal number, since it uses more digits than its factorization.

10935336960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 45.

The spelling of 10935336960 in words is "ten billion, nine hundred thirty-five million, three hundred thirty-six thousand, nine hundred sixty".