83527582464 has 216 divisors, whose sum is σ = 250903452800. Its totient is φ = 26694696960.

The previous prime is 83527582381. The next prime is 83527582477. The reversal of 83527582464 is 46428572538.

83527582464 is a `hidden beast` number, since 8 + 3 + 52 + 7 + 582 + 4 + 6 + 4 = 666.

It is a super-2 number, since 2×83527582464² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83527582464.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7779852 + ... + 7790580.

Almost surely, 2^83527582464 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 83527582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125451726400).

83527582464 is an abundant number, since it is smaller than the sum of its proper divisors (167375870336).

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

83527582464 is a wasteful number, since it uses less digits than its factorization.

83527582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10891 (or 10874 counting only the distinct ones).

The product of its digits is 12902400, while the sum is 54.

The spelling of 83527582464 in words is "eighty-three billion, five hundred twenty-seven million, five hundred eighty-two thousand, four hundred sixty-four".