86746336320 has 448 divisors, whose sum is σ = 331700428800. Its totient is φ = 18778079232.

The previous prime is 86746336301. The next prime is 86746336361. The reversal of 86746336320 is 2363364768.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×86746336320² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86746336320.

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 63 ways as a sum of consecutive naturals, for example, 15916956 + ... + 15922404.

Almost surely, 2^86746336320 is an apocalyptic number.

86746336320 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 86746336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165850214400).

86746336320 is an abundant number, since it is smaller than the sum of its proper divisors (244954092480).

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

86746336320 is a wasteful number, since it uses less digits than its factorization.

86746336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 86746336320 in words is "eighty-six billion, seven hundred forty-six million, three hundred thirty-six thousand, three hundred twenty".