86930340120 has 384 divisors, whose sum is σ = 315753984000. Its totient is φ = 20597068800.

The previous prime is 86930340113. The next prime is 86930340139. The reversal of 86930340120 is 2104303968.

It is a super-2 number, since 2×86930340120² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 28869415 + ... + 28872425.

It is an arithmetic number, because the mean of its divisors is an integer number (822276000).

Almost surely, 2^86930340120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86930340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157876992000).

86930340120 is an abundant number, since it is smaller than the sum of its proper divisors (228823643880).

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

86930340120 is a wasteful number, since it uses less digits than its factorization.

86930340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 86930340120 in words is "eighty-six billion, nine hundred thirty million, three hundred forty thousand, one hundred twenty".