86983393536 has 1152 divisors, whose sum is σ = 321002841600. Its totient is φ = 23219011584.

The previous prime is 86983393529. The next prime is 86983393561. The reversal of 86983393536 is 63539338968.

86983393536 is a `hidden beast` number, since 8 + 6 + 9 + 8 + 3 + 3 + 93 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×86983393536² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2350902510 + ... + 2350902546.

It is an arithmetic number, because the mean of its divisors is an integer number (278648300).

Almost surely, 2^86983393536 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 86983393536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160501420800).

86983393536 is an abundant number, since it is smaller than the sum of its proper divisors (234019448064).

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

86983393536 is a wasteful number, since it uses less digits than its factorization.

86983393536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its digits is 75582720, while the sum is 63.

It can be divided in two parts, 869833 and 93536, that added together give a palindrome (963369).

The spelling of 86983393536 in words is "eighty-six billion, nine hundred eighty-three million, three hundred ninety-three thousand, five hundred thirty-six".