86127095040 has 288 divisors, whose sum is σ = 316198100736. Its totient is φ = 19571343360.

The previous prime is 86127095027. The next prime is 86127095069. The reversal of 86127095040 is 4059072168.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 86127094983 and 86127095001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4640980 + ... + 4659500.

It is an arithmetic number, because the mean of its divisors is an integer number (1097910072).

Almost surely, 2^86127095040 is an apocalyptic number.

86127095040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86127095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158099050368).

86127095040 is an abundant number, since it is smaller than the sum of its proper divisors (230071005696).

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

86127095040 is a wasteful number, since it uses less digits than its factorization.

86127095040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18725 (or 18711 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 86127095040 in words is "eighty-six billion, one hundred twenty-seven million, ninety-five thousand, forty".