83153815603200 has 648 divisors, whose sum is σ = 299752575603390. Its totient is φ = 22030103347200.

The previous prime is 83153815603193. The next prime is 83153815603223. The reversal of 83153815603200 is 230651835138.

83153815603200 is a `hidden beast` number, since 8 + 3 + 1 + 5 + 3 + 8 + 15 + 603 + 20 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 9613174662144 + 73540640941056 = 3100512^2 + 8575584^2 .

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

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 53 ways as a sum of consecutive naturals, for example, 11358255540 + ... + 11358262860.

Almost surely, 2^{83153815603200} is an apocalyptic number.

83153815603200 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 83153815603200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149876287801695).

83153815603200 is an abundant number, since it is smaller than the sum of its proper divisors (216598760000190).

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

83153815603200 is a wasteful number, since it uses less digits than its factorization.

83153815603200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7673 (or 7488 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 83153815603200 in words is "eighty-three trillion, one hundred fifty-three billion, eight hundred fifteen million, six hundred three thousand, two hundred".