83575665524736 has 1632 divisors, whose sum is σ = 330712642990080. Its totient is φ = 19666619596800.

The previous prime is 83575665524711. The next prime is 83575665524777. The reversal of 83575665524736 is 63742556657538.

83575665524736 is a `hidden beast` number, since 8 + 3 + 5 + 7 + 5 + 6 + 65 + 524 + 7 + 36 = 666.

83575665524736 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19846985671 + ... + 19846989881.

Almost surely, 2^{83575665524736} 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 83575665524736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165356321495040).

83575665524736 is an abundant number, since it is smaller than the sum of its proper divisors (247136977465344).

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

83575665524736 is a wasteful number, since it uses less digits than its factorization.

83575665524736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4309 (or 4276 counting only the distinct ones).

The product of its digits is 3810240000, while the sum is 72.

The spelling of 83575665524736 in words is "eighty-three trillion, five hundred seventy-five billion, six hundred sixty-five million, five hundred twenty-four thousand, seven hundred thirty-six".