8450083200000 has 528 divisors, whose sum is σ = 30317328004320. Its totient is φ = 2079989760000.

The previous prime is 8450083199879. The next prime is 8450083200017. The reversal of 8450083200000 is 23800548.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 124766146 + ... + 124833854.

Almost surely, 2^{8450083200000} is an apocalyptic number.

8450083200000 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 8450083200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15158664002160).

8450083200000 is an abundant number, since it is smaller than the sum of its proper divisors (21867244804320).

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

8450083200000 is an equidigital number, since it uses as much as digits as its factorization.

8450083200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67770 (or 67732 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 8450083200000 in words is "eight trillion, four hundred fifty billion, eighty-three million, two hundred thousand".