10705516715707 has 16 divisors (see below), whose sum is σ = 12307175665920. Its totient is φ = 9216975196000.

The previous prime is 10705516715669. The next prime is 10705516715741. The reversal of 10705516715707 is 70751761550701.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-10705516715707 is a prime.

It is a super-2 number, since 2×10705516715707² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10705516715507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209451157 + ... + 209502262.

It is an arithmetic number, because the mean of its divisors is an integer number (769198479120).

Almost surely, 2^{10705516715707} is an apocalyptic number.

10705516715707 is a deficient number, since it is larger than the sum of its proper divisors (1601658950213).

10705516715707 is a wasteful number, since it uses less digits than its factorization.

10705516715707 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418953554.

The product of its (nonzero) digits is 1800750, while the sum is 52.

The spelling of 10705516715707 in words is "ten trillion, seven hundred five billion, five hundred sixteen million, seven hundred fifteen thousand, seven hundred seven".