86933675512320 has 1280 divisors, whose sum is σ = 348443970158592. Its totient is φ = 18001263329280.

The previous prime is 86933675512291. The next prime is 86933675512351. The reversal of 86933675512320 is 2321557633968.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13157810457 + ... + 13157817063.

Almost surely, 2^{86933675512320} is an apocalyptic number.

86933675512320 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 86933675512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174221985079296).

86933675512320 is an abundant number, since it is smaller than the sum of its proper divisors (261510294646272).

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

86933675512320 is a wasteful number, since it uses less digits than its factorization.

86933675512320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7001 (or 6985 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 86933675512320 in words is "eighty-six trillion, nine hundred thirty-three billion, six hundred seventy-five million, five hundred twelve thousand, three hundred twenty".