86315031816750 has 1536 divisors, whose sum is σ = 289034891937792. Its totient is φ = 19034901504000.

The previous prime is 86315031816731. The next prime is 86315031816773. The reversal of 86315031816750 is 5761813051368.

It is a happy number.

86315031816750 is a `hidden beast` number, since 8 + 6 + 3 + 1 + 503 + 1 + 81 + 6 + 7 + 50 = 666.

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 767 ways as a sum of consecutive naturals, for example, 72716959657 + ... + 72716960843.

It is an arithmetic number, because the mean of its divisors is an integer number (188173757772).

Almost surely, 2^{86315031816750} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86315031816750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144517445968896).

86315031816750 is an abundant number, since it is smaller than the sum of its proper divisors (202719860121042).

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

86315031816750 is a wasteful number, since it uses less digits than its factorization.

86315031816750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1457 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 86315031816750 in words is "eighty-six trillion, three hundred fifteen billion, thirty-one million, eight hundred sixteen thousand, seven hundred fifty".