11695860864 has 160 divisors (see below), whose sum is σ = 35379206940. Its totient is φ = 3834501120.

The previous prime is 11695860857. The next prime is 11695860881. The reversal of 11695860864 is 46806859611.

It can be written as a sum of positive squares in 2 ways, for example, as 10320934464 + 1374926400 = 101592^2 + 37080^2 .

It is a super-2 number, since 2×11695860864² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11695860864.

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, 623202 + ... + 641694.

Almost surely, 2^11695860864 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 11695860864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17689603470).

11695860864 is an abundant number, since it is smaller than the sum of its proper divisors (23683346076).

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

11695860864 is an equidigital number, since it uses as much as digits as its factorization.

11695860864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18580 (or 18559 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 11695860864 in words is "eleven billion, six hundred ninety-five million, eight hundred sixty thousand, eight hundred sixty-four".