86356366028541 has 384 divisors, whose sum is σ = 168525826560000. Its totient is φ = 43896817907712.

The previous prime is 86356366028521. The next prime is 86356366028593. The reversal of 86356366028541 is 14582066365368.

86356366028541 is a `hidden beast` number, since 8 + 6 + 3 + 5 + 6 + 3 + 6 + 60 + 28 + 541 = 666.

It is not a de Polignac number, because 86356366028541 - 2¹⁴ = 86356366012157 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86356366028501) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 12303225730 + ... + 12303232748.

It is an arithmetic number, because the mean of its divisors is an integer number (438869340000).

Almost surely, 2^{86356366028541} is an apocalyptic number.

86356366028541 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

86356366028541 is a deficient number, since it is larger than the sum of its proper divisors (82169460531459).

86356366028541 is a wasteful number, since it uses less digits than its factorization.

86356366028541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7548 (or 7522 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 86356366028541 in words is "eighty-six trillion, three hundred fifty-six billion, three hundred sixty-six million, twenty-eight thousand, five hundred forty-one".