35664711516 has 144 divisors (see below), whose sum is σ = 104595289344. Its totient is φ = 10035664128.

The previous prime is 35664711491. The next prime is 35664711521. The reversal of 35664711516 is 61511746653.

35664711516 is a `hidden beast` number, since 3 + 5 + 6 + 64 + 71 + 1 + 516 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21393715 + ... + 21395381.

It is an arithmetic number, because the mean of its divisors is an integer number (726356176).

Almost surely, 2^35664711516 is an apocalyptic number.

35664711516 is a gapful number since it is divisible by the number (36) 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 35664711516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52297644672).

35664711516 is an abundant number, since it is smaller than the sum of its proper divisors (68930577828).

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

35664711516 is a wasteful number, since it uses less digits than its factorization.

35664711516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2915 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 35664711516 in words is "thirty-five billion, six hundred sixty-four million, seven hundred eleven thousand, five hundred sixteen".