86866437240 has 384 divisors, whose sum is σ = 312429312000. Its totient is φ = 20929708800.

The previous prime is 86866437221. The next prime is 86866437253. The reversal of 86866437240 is 4273466868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95352385 + ... + 95353295.

It is an arithmetic number, because the mean of its divisors is an integer number (813618000).

Almost surely, 2^86866437240 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 86866437240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156214656000).

86866437240 is an abundant number, since it is smaller than the sum of its proper divisors (225562874760).

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

86866437240 is a wasteful number, since it uses less digits than its factorization.

86866437240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 86866437240 in words is "eighty-six billion, eight hundred sixty-six million, four hundred thirty-seven thousand, two hundred forty".