86830211520 has 280 divisors, whose sum is σ = 332630885664. Its totient is φ = 21373507584.

The previous prime is 86830211477. The next prime is 86830211539. The reversal of 86830211520 is 2511203868.

It is a happy number.

86830211520 is a `hidden beast` number, since 86 + 8 + 30 + 21 + 1 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208117 + ... + 465803.

Almost surely, 2^86830211520 is an apocalyptic number.

86830211520 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 86830211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166315442832).

86830211520 is an abundant number, since it is smaller than the sum of its proper divisors (245800674144).

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

86830211520 is a wasteful number, since it uses less digits than its factorization.

86830211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257729 (or 257710 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 86830211520 in words is "eighty-six billion, eight hundred thirty million, two hundred eleven thousand, five hundred twenty".