83860232601600 has 3960 divisors, whose sum is σ = 401753561001408. Its totient is φ = 17122826649600.

The previous prime is 83860232601557. The next prime is 83860232601667. The reversal of 83860232601600 is 610623206838.

It is a happy number.

83860232601600 is a `hidden beast` number, since 8 + 3 + 8 + 6 + 0 + 2 + 32 + 6 + 0 + 1 + 600 = 666.

It is a super-2 number, since 2×83860232601600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2705168793585 + ... + 2705168793615.

Almost surely, 2^{83860232601600} is an apocalyptic number.

83860232601600 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 83860232601600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200876780500704).

83860232601600 is an abundant number, since it is smaller than the sum of its proper divisors (317893328399808).

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

83860232601600 is an frugal number, since it uses more digits than its factorization.

83860232601600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 83860232601600 in words is "eighty-three trillion, eight hundred sixty billion, two hundred thirty-two million, six hundred one thousand, six hundred".