86706075456 has 1680 divisors, whose sum is σ = 366250931200. Its totient is φ = 20118067200.

The previous prime is 86706075439. The next prime is 86706075493. The reversal of 86706075456 is 65457060768.

86706075456 is a `hidden beast` number, since 8 + 67 + 0 + 60 + 75 + 456 = 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 239 ways as a sum of consecutive naturals, for example, 2796970161 + ... + 2796970191.

Almost surely, 2^86706075456 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 86706075456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183125465600).

86706075456 is an abundant number, since it is smaller than the sum of its proper divisors (279544855744).

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

86706075456 is a wasteful number, since it uses less digits than its factorization.

86706075456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 86706075456 in words is "eighty-six billion, seven hundred six million, seventy-five thousand, four hundred fifty-six".