86210033840 has 160 divisors (see below), whose sum is σ = 231825162240. Its totient is φ = 29204600832.

The previous prime is 86210033831. The next prime is 86210033849. The reversal of 86210033840 is 4833001268.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (86210033831) and next prime (86210033849).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 86210033840.

It is not an unprimeable number, because it can be changed into a prime (86210033849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17106041 + ... + 17111079.

It is an arithmetic number, because the mean of its divisors is an integer number (1448907264).

Almost surely, 2^86210033840 is an apocalyptic number.

86210033840 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 86210033840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115912581120).

86210033840 is an abundant number, since it is smaller than the sum of its proper divisors (145615128400).

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

86210033840 is a wasteful number, since it uses less digits than its factorization.

86210033840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419 (or 5413 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The spelling of 86210033840 in words is "eighty-six billion, two hundred ten million, thirty-three thousand, eight hundred forty".