86417528403132 has 192 divisors, whose sum is σ = 226424811110400. Its totient is φ = 28501902397440.

The previous prime is 86417528403119. The next prime is 86417528403137. The reversal of 86417528403132 is 23130482571468.

86417528403132 is a `hidden beast` number, since 8 + 6 + 4 + 17 + 528 + 40 + 31 + 32 = 666.

86417528403132 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×86417528403132² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86417528403137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3403458157 + ... + 3403483547.

It is an arithmetic number, because the mean of its divisors is an integer number (1179295891200).

Almost surely, 2^{86417528403132} 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 86417528403132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113212405555200).

86417528403132 is an abundant number, since it is smaller than the sum of its proper divisors (140007282707268).

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

86417528403132 is a wasteful number, since it uses less digits than its factorization.

86417528403132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26473 (or 26465 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 86417528403132 in words is "eighty-six trillion, four hundred seventeen billion, five hundred twenty-eight million, four hundred three thousand, one hundred thirty-two".