86538556004376 has 256 divisors, whose sum is σ = 251382991426560. Its totient is φ = 24315305656320.

The previous prime is 86538556004311. The next prime is 86538556004377. The reversal of 86538556004376 is 67340065583568.

It is a super-2 number, since 2×86538556004376² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86538556004377) 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, 2682767640 + ... + 2682799896.

It is an arithmetic number, because the mean of its divisors is an integer number (981964810260).

Almost surely, 2^{86538556004376} 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 86538556004376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125691495713280).

86538556004376 is an abundant number, since it is smaller than the sum of its proper divisors (164844435422184).

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

86538556004376 is a wasteful number, since it uses less digits than its factorization.

86538556004376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33234 (or 33230 counting only the distinct ones).

The product of its (nonzero) digits is 435456000, while the sum is 66.

The spelling of 86538556004376 in words is "eighty-six trillion, five hundred thirty-eight billion, five hundred fifty-six million, four thousand, three hundred seventy-six".