86010537312 has 384 divisors, whose sum is σ = 293642496000. Its totient is φ = 24483078144.

The previous prime is 86010537311. The next prime is 86010537323. The reversal of 86010537312 is 21373501068.

86010537312 is a `hidden beast` number, since 8 + 601 + 0 + 5 + 37 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86010537311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149064768 + ... + 149065344.

It is an arithmetic number, because the mean of its divisors is an integer number (764694000).

Almost surely, 2^86010537312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86010537312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146821248000).

86010537312 is an abundant number, since it is smaller than the sum of its proper divisors (207631958688).

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

86010537312 is a wasteful number, since it uses less digits than its factorization.

86010537312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 86010537312 in words is "eighty-six billion, ten million, five hundred thirty-seven thousand, three hundred twelve".