83942423285760 has 1248 divisors, whose sum is σ = 322588493660160. Its totient is φ = 20060461596672.

The previous prime is 83942423285729. The next prime is 83942423285779. The reversal of 83942423285760 is 6758232424938.

83942423285760 is a `hidden beast` number, since 8 + 3 + 9 + 4 + 24 + 2 + 32 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14302676106 + ... + 14302681974.

It is an arithmetic number, because the mean of its divisors is an integer number (258484369920).

Almost surely, 2^{83942423285760} is an apocalyptic number.

83942423285760 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 83942423285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161294246830080).

83942423285760 is an abundant number, since it is smaller than the sum of its proper divisors (238646070374400).

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

83942423285760 is a wasteful number, since it uses less digits than its factorization.

83942423285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6091 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 83942423285760 in words is "eighty-three trillion, nine hundred forty-two billion, four hundred twenty-three million, two hundred eighty-five thousand, seven hundred sixty".