83100033473040 has 320 divisors, whose sum is σ = 303133180377600. Its totient is φ = 20852179992576.

The previous prime is 83100033473021. The next prime is 83100033473047. The reversal of 83100033473040 is 4037433000138.

83100033473040 is a `hidden beast` number, since 8 + 3 + 1 + 0 + 0 + 0 + 3 + 347 + 304 + 0 = 666.

83100033473040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 83100033472986 and 83100033473004.

It is not an unprimeable number, because it can be changed into a prime (83100033473047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179807376 + ... + 180268944.

It is an arithmetic number, because the mean of its divisors is an integer number (947291188680).

Almost surely, 2^{83100033473040} is an apocalyptic number.

83100033473040 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 83100033473040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151566590188800).

83100033473040 is an abundant number, since it is smaller than the sum of its proper divisors (220033146904560).

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

83100033473040 is a wasteful number, since it uses less digits than its factorization.

83100033473040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466511 (or 466499 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 83100033473040 its reverse (4037433000138), we get a palindrome (87137466473178).

The spelling of 83100033473040 in words is "eighty-three trillion, one hundred billion, thirty-three million, four hundred seventy-three thousand, forty".