83859997777920 has 2688 divisors, whose sum is σ = 386686716998400. Its totient is φ = 16647192576000.

The previous prime is 83859997777889. The next prime is 83859997777921. The reversal of 83859997777920 is 2977779995838.

83859997777920 is a `hidden beast` number, since 8 + 3 + 8 + 599 + 9 + 7 + 7 + 7 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83859997777921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27944016420 + ... + 27944019420.

It is an arithmetic number, because the mean of its divisors is an integer number (143856665550).

Almost surely, 2^{83859997777920} is an apocalyptic number.

83859997777920 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 83859997777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193343358499200).

83859997777920 is an abundant number, since it is smaller than the sum of its proper divisors (302826719220480).

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

83859997777920 is a wasteful number, since it uses less digits than its factorization.

83859997777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3089 (or 3048 counting only the distinct ones).

The product of its (nonzero) digits is 30245685120, while the sum is 90.

The spelling of 83859997777920 in words is "eighty-three trillion, eight hundred fifty-nine billion, nine hundred ninety-seven million, seven hundred seventy-seven thousand, nine hundred twenty".