83317382966400 has 768 divisors, whose sum is σ = 301287468689280. Its totient is φ = 20069351424000.

The previous prime is 83317382966393. The next prime is 83317382966417. The reversal of 83317382966400 is 466928371338.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21624026874 + ... + 21624030726.

Almost surely, 2^{83317382966400} is an apocalyptic number.

83317382966400 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 83317382966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150643734344640).

83317382966400 is an abundant number, since it is smaller than the sum of its proper divisors (217970085722880).

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

83317382966400 is a wasteful number, since it uses less digits than its factorization.

83317382966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5145 (or 5128 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 83317382966400 in words is "eighty-three trillion, three hundred seventeen billion, three hundred eighty-two million, nine hundred sixty-six thousand, four hundred".