86373351751680 has 1632 divisors, whose sum is σ = 368823476090880. Its totient is φ = 19102653480960.

The previous prime is 86373351751663. The next prime is 86373351751693. The reversal of 86373351751680 is 8615715337368.

86373351751680 is a `hidden beast` number, since 8 + 6 + 3 + 7 + 3 + 3 + 517 + 51 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13439136627 + ... + 13439143053.

Almost surely, 2^{86373351751680} is an apocalyptic number.

86373351751680 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 86373351751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184411738045440).

86373351751680 is an abundant number, since it is smaller than the sum of its proper divisors (282450124339200).

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

86373351751680 is an equidigital number, since it uses as much as digits as its factorization.

86373351751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6518 (or 6475 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 86373351751680 in words is "eighty-six trillion, three hundred seventy-three billion, three hundred fifty-one million, seven hundred fifty-one thousand, six hundred eighty".