86618006640 has 160 divisors (see below), whose sum is σ = 325473811200. Its totient is φ = 20998298880.

The previous prime is 86618006639. The next prime is 86618006641. The reversal of 86618006640 is 4660081668.

It is an interprime number because it is at equal distance from previous prime (86618006639) and next prime (86618006641).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86618006641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1799010 + ... + 1846529.

It is an arithmetic number, because the mean of its divisors is an integer number (2034211320).

Almost surely, 2^86618006640 is an apocalyptic number.

86618006640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86618006640 is an abundant number, since it is smaller than the sum of its proper divisors (238855804560).

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

86618006640 is a wasteful number, since it uses less digits than its factorization.

86618006640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645572 (or 3645560 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 86618006640 in words is "eighty-six billion, six hundred eighteen million, six thousand, six hundred forty".