86175824747040 has 432 divisors, whose sum is σ = 342107636899392. Its totient is φ = 19696157365248.

The previous prime is 86175824747027. The next prime is 86175824747063. The reversal of 86175824747040 is 4074742857168.

86175824747040 is a `hidden beast` number, since 8 + 6 + 1 + 7 + 5 + 82 + 47 + 470 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1850553837 + ... + 1850600403.

It is an arithmetic number, because the mean of its divisors is an integer number (791915826156).

Almost surely, 2^{86175824747040} is an apocalyptic number.

86175824747040 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 86175824747040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171053818449696).

86175824747040 is an abundant number, since it is smaller than the sum of its proper divisors (255931812152352).

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

86175824747040 is a wasteful number, since it uses less digits than its factorization.

86175824747040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72829 (or 72811 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 86175824747040 in words is "eighty-six trillion, one hundred seventy-five billion, eight hundred twenty-four million, seven hundred forty-seven thousand, forty".