86588766792 has 192 divisors, whose sum is σ = 257572224000. Its totient is φ = 26061129600.

The previous prime is 86588766763. The next prime is 86588766799. The reversal of 86588766792 is 29766788568.

It is a super-2 number, since 2×86588766792² (a number of 23 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 86588766792.

It is not an unprimeable number, because it can be changed into a prime (86588766799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103204309 + ... + 103205147.

It is an arithmetic number, because the mean of its divisors is an integer number (1341522000).

Almost surely, 2^86588766792 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 86588766792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112000).

86588766792 is an abundant number, since it is smaller than the sum of its proper divisors (170983457208).

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

86588766792 is a wasteful number, since it uses less digits than its factorization.

86588766792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1592 (or 1585 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

It can be divided in two parts, 8658876 and 6792, that added together give a palindrome (8665668).

The spelling of 86588766792 in words is "eighty-six billion, five hundred eighty-eight million, seven hundred sixty-six thousand, seven hundred ninety-two".