86460682770 has 384 divisors, whose sum is σ = 300513265920. Its totient is φ = 17479203840.

The previous prime is 86460682751. The next prime is 86460682771. The reversal of 86460682770 is 7728606468.

86460682770 is a `hidden beast` number, since 8 + 6 + 4 + 606 + 8 + 27 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (86460682771) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5376582 + ... + 5392638.

It is an arithmetic number, because the mean of its divisors is an integer number (782586630).

Almost surely, 2^86460682770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86460682770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150256632960).

86460682770 is an abundant number, since it is smaller than the sum of its proper divisors (214052583150).

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

86460682770 is a wasteful number, since it uses less digits than its factorization.

86460682770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16135 (or 16122 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

It can be divided in two parts, 864606 and 82770, that added together give a triangular number (947376 = T₁₃₇₆).

The spelling of 86460682770 in words is "eighty-six billion, four hundred sixty million, six hundred eighty-two thousand, seven hundred seventy".