10935688716 has 192 divisors, whose sum is σ = 30723840000. Its totient is φ = 3352803840.

The previous prime is 10935688703. The next prime is 10935688747. The reversal of 10935688716 is 61788653901.

10935688716 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 568 + 8 + 71 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 14369776 + ... + 14370536.

It is an arithmetic number, because the mean of its divisors is an integer number (160020000).

Almost surely, 2^10935688716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10935688716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15361920000).

10935688716 is an abundant number, since it is smaller than the sum of its proper divisors (19788151284).

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

10935688716 is a wasteful number, since it uses less digits than its factorization.

10935688716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 10935688716 in words is "ten billion, nine hundred thirty-five million, six hundred eighty-eight thousand, seven hundred sixteen".