86253777573888 has 384 divisors, whose sum is σ = 234403177881600. Its totient is φ = 28201252552704.

The previous prime is 86253777573863. The next prime is 86253777573893. The reversal of 86253777573888 is 88837577735268.

86253777573888 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 86253777573888.

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 31 ways as a sum of consecutive naturals, for example, 67544069506 + ... + 67544070782.

It is an arithmetic number, because the mean of its divisors is an integer number (610424942400).

Almost surely, 2^{86253777573888} 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 86253777573888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117201588940800).

86253777573888 is an abundant number, since it is smaller than the sum of its proper divisors (148149400307712).

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

86253777573888 is a wasteful number, since it uses less digits than its factorization.

86253777573888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 2325 counting only the distinct ones).

The product of its digits is 26553139200, while the sum is 84.

The spelling of 86253777573888 in words is "eighty-six trillion, two hundred fifty-three billion, seven hundred seventy-seven million, five hundred seventy-three thousand, eight hundred eighty-eight".