86899117440 has 128 divisors (see below), whose sum is σ = 291569529600. Its totient is φ = 21953452032.

The previous prime is 86899117433. The next prime is 86899117453. The reversal of 86899117440 is 4471199868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×86899117440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1154572 + ... + 1227531.

It is an arithmetic number, because the mean of its divisors is an integer number (2277886950).

Almost surely, 2^86899117440 is an apocalyptic number.

86899117440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86899117440 is an abundant number, since it is smaller than the sum of its proper divisors (204670412160).

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

86899117440 is a wasteful number, since it uses less digits than its factorization.

86899117440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2382144 (or 2382132 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 57.

The spelling of 86899117440 in words is "eighty-six billion, eight hundred ninety-nine million, one hundred seventeen thousand, four hundred forty".