86028177930240 has 1728 divisors, whose sum is σ = 361854971412480. Its totient is φ = 17081208668160.

The previous prime is 86028177930217. The next prime is 86028177930283. The reversal of 86028177930240 is 4203977182068.

It is a super-2 number, since 2×86028177930240² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10502764545 + ... + 10502772735.

It is an arithmetic number, because the mean of its divisors is an integer number (209406812160).

Almost surely, 2^{86028177930240} is an apocalyptic number.

86028177930240 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 86028177930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180927485706240).

86028177930240 is an abundant number, since it is smaller than the sum of its proper divisors (275826793482240).

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

86028177930240 is a wasteful number, since it uses less digits than its factorization.

86028177930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288 (or 8238 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 86028177930240 in words is "eighty-six trillion, twenty-eight billion, one hundred seventy-seven million, nine hundred thirty thousand, two hundred forty".