83845364410080 has 2400 divisors, whose sum is σ = 391356959162400. Its totient is φ = 16757837881344.

The previous prime is 83845364410051. The next prime is 83845364410081. The reversal of 83845364410080 is 8001446354838.

It is a happy number.

83845364410080 is a `hidden beast` number, since 8 + 3 + 8 + 453 + 6 + 4 + 4 + 100 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 83845364409999 and 83845364410026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83845364410081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 7685883666 + ... + 7685894574.

It is an arithmetic number, because the mean of its divisors is an integer number (163065399651).

Almost surely, 2^{83845364410080} is an apocalyptic number.

83845364410080 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 83845364410080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195678479581200).

83845364410080 is an abundant number, since it is smaller than the sum of its proper divisors (307511594752320).

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

83845364410080 is a wasteful number, since it uses less digits than its factorization.

83845364410080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10996 (or 10958 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 83845364410080 in words is "eighty-three trillion, eight hundred forty-five billion, three hundred sixty-four million, four hundred ten thousand, eighty".