86493242880000 has 1040 divisors, whose sum is σ = 349316243020800. Its totient is φ = 20967874560000.

The previous prime is 86493242879999. The next prime is 86493242880043. The reversal of 86493242880000 is 8824239468.

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 79 ways as a sum of consecutive naturals, for example, 760263121 + ... + 760376879.

Almost surely, 2^{86493242880000} is an apocalyptic number.

86493242880000 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 86493242880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174658121510400).

86493242880000 is an abundant number, since it is smaller than the sum of its proper divisors (262823000140800).

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

86493242880000 is a wasteful number, since it uses less digits than its factorization.

86493242880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113823 (or 113780 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 86493242880000 in words is "eighty-six trillion, four hundred ninety-three billion, two hundred forty-two million, eight hundred eighty thousand".