86393190240 has 288 divisors, whose sum is σ = 342646536960. Its totient is φ = 19412186112.

The previous prime is 86393190223. The next prime is 86393190269. The reversal of 86393190240 is 4209139368.

It is a happy number.

86393190240 is a `hidden beast` number, since 8 + 6 + 393 + 19 + 0 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 522087 + ... + 667353.

It is an arithmetic number, because the mean of its divisors is an integer number (1189744920).

Almost surely, 2^86393190240 is an apocalyptic number.

86393190240 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 86393190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171323268480).

86393190240 is an abundant number, since it is smaller than the sum of its proper divisors (256253346720).

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

86393190240 is a wasteful number, since it uses less digits than its factorization.

86393190240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145354 (or 145343 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 86393190240 in words is "eighty-six billion, three hundred ninety-three million, one hundred ninety thousand, two hundred forty".