86910213120 has 352 divisors, whose sum is σ = 285964262400. Its totient is φ = 22520070144.

The previous prime is 86910213113. The next prime is 86910213127. The reversal of 86910213120 is 2131201968.

It is an interprime number because it is at equal distance from previous prime (86910213113) and next prime (86910213127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86910213127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81299946 + ... + 81301014.

Almost surely, 2^86910213120 is an apocalyptic number.

86910213120 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 86910213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142982131200).

86910213120 is an abundant number, since it is smaller than the sum of its proper divisors (199054049280).

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

86910213120 is a wasteful number, since it uses less digits than its factorization.

86910213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 86910213120 in words is "eighty-six billion, nine hundred ten million, two hundred thirteen thousand, one hundred twenty".