86418390240 has 1536 divisors, whose sum is σ = 402117488640. Its totient is φ = 16817061888.

The previous prime is 86418390197. The next prime is 86418390241. The reversal of 86418390240 is 4209381468.

It is a happy number.

86418390240 is a `hidden beast` number, since 8 + 6 + 4 + 18 + 390 + 240 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86418390241) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 447763584 + ... + 447763776.

It is an arithmetic number, because the mean of its divisors is an integer number (261795240).

Almost surely, 2^86418390240 is an apocalyptic number.

86418390240 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 86418390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201058744320).

86418390240 is an abundant number, since it is smaller than the sum of its proper divisors (315699098400).

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

86418390240 is a wasteful number, since it uses less digits than its factorization.

86418390240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 86418390240 in words is "eighty-six billion, four hundred eighteen million, three hundred ninety thousand, two hundred forty".