86043617280 has 576 divisors, whose sum is σ = 312664060800. Its totient is φ = 22693478400.

The previous prime is 86043617279. The next prime is 86043617321. The reversal of 86043617280 is 8271634068.

86043617280 is a `hidden beast` number, since 8 + 6 + 0 + 4 + 3 + 617 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×86043617280² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375736206 + ... + 375736434.

It is an arithmetic number, because the mean of its divisors is an integer number (542819550).

Almost surely, 2^86043617280 is an apocalyptic number.

86043617280 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 86043617280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156332030400).

86043617280 is an abundant number, since it is smaller than the sum of its proper divisors (226620443520).

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

86043617280 is a wasteful number, since it uses less digits than its factorization.

86043617280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 86043617280 in words is "eighty-six billion, forty-three million, six hundred seventeen thousand, two hundred eighty".