86240789276544 has 384 divisors, whose sum is σ = 285552016588800. Its totient is φ = 24472853250048.

The previous prime is 86240789276497. The next prime is 86240789276563. The reversal of 86240789276544 is 44567298704268.

86240789276544 is a `hidden beast` number, since 8 + 6 + 2 + 4 + 0 + 7 + 8 + 9 + 2 + 76 + 544 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 738095952 + ... + 738212784.

It is an arithmetic number, because the mean of its divisors is an integer number (743625043200).

Almost surely, 2^{86240789276544} is an apocalyptic number.

86240789276544 is a gapful number since it is divisible by the number (84) 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 86240789276544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142776008294400).

86240789276544 is an abundant number, since it is smaller than the sum of its proper divisors (199311227312256).

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

86240789276544 is a wasteful number, since it uses less digits than its factorization.

86240789276544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117482 (or 117467 counting only the distinct ones).

The product of its (nonzero) digits is 1300561920, while the sum is 72.

The spelling of 86240789276544 in words is "eighty-six trillion, two hundred forty billion, seven hundred eighty-nine million, two hundred seventy-six thousand, five hundred forty-four".