86215844413440 has 2880 divisors, whose sum is σ = 383034800870400. Its totient is φ = 17960622096384.

The previous prime is 86215844413429. The next prime is 86215844413471. The reversal of 86215844413440 is 4431444851268.

86215844413440 is a `hidden beast` number, since 8 + 6 + 2 + 1 + 584 + 4 + 4 + 13 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 968717352916 + ... + 968717353004.

Almost surely, 2^{86215844413440} is an apocalyptic number.

86215844413440 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 86215844413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191517400435200).

86215844413440 is an abundant number, since it is smaller than the sum of its proper divisors (296818956456960).

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

86215844413440 is an equidigital number, since it uses as much as digits as its factorization.

86215844413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 86215844413440 in words is "eighty-six trillion, two hundred fifteen billion, eight hundred forty-four million, four hundred thirteen thousand, four hundred forty".