86278526687664 has 400 divisors, whose sum is σ = 264112105118400. Its totient is φ = 27136825638912.

The previous prime is 86278526687623. The next prime is 86278526687681. The reversal of 86278526687664 is 46678662587268.

86278526687664 is a `hidden beast` number, since 8 + 6 + 2 + 7 + 8 + 526 + 6 + 87 + 6 + 6 + 4 = 666.

86278526687664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1148673342 + ... + 1148748450.

It is an arithmetic number, because the mean of its divisors is an integer number (660280262796).

Almost surely, 2^{86278526687664} 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 86278526687664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132056052559200).

86278526687664 is an abundant number, since it is smaller than the sum of its proper divisors (177833578430736).

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

86278526687664 is a wasteful number, since it uses less digits than its factorization.

86278526687664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75674 (or 75659 counting only the distinct ones).

The product of its digits is 15606743040, while the sum is 81.

The spelling of 86278526687664 in words is "eighty-six trillion, two hundred seventy-eight billion, five hundred twenty-six million, six hundred eighty-seven thousand, six hundred sixty-four".