86555766048 has 96 divisors (see below), whose sum is σ = 238011613056. Its totient is φ = 27489927168.

The previous prime is 86555766047. The next prime is 86555766049. The reversal of 86555766048 is 84066755568.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86555766047) and next prime (86555766049).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×86555766048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86555765982 and 86555766000.

It is not an unprimeable number, because it can be changed into a prime (86555766041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491190 + ... + 643722.

It is an arithmetic number, because the mean of its divisors is an integer number (2479287636).

Almost surely, 2^86555766048 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 86555766048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119005806528).

86555766048 is an abundant number, since it is smaller than the sum of its proper divisors (151455847008).

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

86555766048 is a wasteful number, since it uses less digits than its factorization.

86555766048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152826 (or 152818 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 86555766048 in words is "eighty-six billion, five hundred fifty-five million, seven hundred sixty-six thousand, forty-eight".