86149861728 has 96 divisors (see below), whose sum is σ = 261008697600. Its totient is φ = 24370521600.

The previous prime is 86149861727. The next prime is 86149861729. The reversal of 86149861728 is 82716894168.

It is an interprime number because it is at equal distance from previous prime (86149861727) and next prime (86149861729).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86149861727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566778 + ... + 702521.

It is an arithmetic number, because the mean of its divisors is an integer number (2718840600).

Almost surely, 2^86149861728 is an apocalyptic number.

It is an amenable number.

86149861728 is an abundant number, since it is smaller than the sum of its proper divisors (174858835872).

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

86149861728 is a wasteful number, since it uses less digits than its factorization.

86149861728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269420 (or 1269412 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 60.

The spelling of 86149861728 in words is "eighty-six billion, one hundred forty-nine million, eight hundred sixty-one thousand, seven hundred twenty-eight".