86555293440 has 1728 divisors, whose sum is σ = 386545582080. Its totient is φ = 16257024000.

The previous prime is 86555293427. The next prime is 86555293453. The reversal of 86555293440 is 4439255568.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86555293427) and next prime (86555293453).

It is a super-5 number, since 5×86555293440⁵ (a number of 56 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1219088605 + ... + 1219088675.

It is an arithmetic number, because the mean of its divisors is an integer number (223695360).

Almost surely, 2^86555293440 is an apocalyptic number.

86555293440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86555293440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193272791040).

86555293440 is an abundant number, since it is smaller than the sum of its proper divisors (299990288640).

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

86555293440 is a wasteful number, since it uses less digits than its factorization.

86555293440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 51.

The spelling of 86555293440 in words is "eighty-six billion, five hundred fifty-five million, two hundred ninety-three thousand, four hundred forty".