86384701271232 has 1750 divisors, whose sum is σ = 324957355835068. Its totient is φ = 22782778357248.

The previous prime is 86384701271131. The next prime is 86384701271249. The reversal of 86384701271232 is 23217210748368.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

86384701271232 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 470 + 127 + 12 + 32 = 666.

It is a super-2 number, since 2×86384701271232² (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 taxicab number since it can be written as a sum of two cubes in more than one way. Here 86384701271232 = 10764³ + 43992³ = 29484³ + 39312³.

It is an unprimeable number.

It is a polite number, since it can be written in 249 ways as a sum of consecutive naturals, for example, 6644977020858 + ... + 6644977020870.

Almost surely, 2^{86384701271232} 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 86384701271232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162478677917534).

86384701271232 is an abundant number, since it is smaller than the sum of its proper divisors (238572654563836).

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

86384701271232 is an frugal number, since it uses more digits than its factorization.

86384701271232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 86384701271232 in words is "eighty-six trillion, three hundred eighty-four billion, seven hundred one million, two hundred seventy-one thousand, two hundred thirty-two".