86628597354 has 96 divisors (see below), whose sum is σ = 208428764544. Its totient is φ = 25830576000.

The previous prime is 86628597353. The next prime is 86628597371. The reversal of 86628597354 is 45379582668.

It is a happy number.

86628597354 is a `hidden beast` number, since 8 + 6 + 6 + 2 + 8 + 597 + 35 + 4 = 666.

It is a super-3 number, since 3×86628597354³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86628597291 and 86628597300.

It is not an unprimeable number, because it can be changed into a prime (86628597353) 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, 2153227 + ... + 2193089.

It is an arithmetic number, because the mean of its divisors is an integer number (2171132964).

Almost surely, 2^86628597354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86628597354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104214382272).

86628597354 is an abundant number, since it is smaller than the sum of its proper divisors (121800167190).

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

86628597354 is a wasteful number, since it uses less digits than its factorization.

86628597354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40172 (or 40169 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 86628597354 in words is "eighty-six billion, six hundred twenty-eight million, five hundred ninety-seven thousand, three hundred fifty-four".