86390241361920 has 1152 divisors, whose sum is σ = 318255862579200. Its totient is φ = 22216867577856.

The previous prime is 86390241361903. The next prime is 86390241361961. The reversal of 86390241361920 is 2916314209368.

86390241361920 is a `hidden beast` number, since 8 + 6 + 3 + 9 + 0 + 2 + 4 + 13 + 619 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83147488761 + ... + 83147489799.

It is an arithmetic number, because the mean of its divisors is an integer number (276263769600).

Almost surely, 2^{86390241361920} is an apocalyptic number.

86390241361920 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 86390241361920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159127931289600).

86390241361920 is an abundant number, since it is smaller than the sum of its proper divisors (231865621217280).

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

86390241361920 is a wasteful number, since it uses less digits than its factorization.

86390241361920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 86390241361920 in words is "eighty-six trillion, three hundred ninety billion, two hundred forty-one million, three hundred sixty-one thousand, nine hundred twenty".