84363831552000 has 4608 divisors, whose sum is σ = 391411903034880. Its totient is φ = 15854469120000.

The previous prime is 84363831551971. The next prime is 84363831552001. The reversal of 84363831552000 is 25513836348.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (84363831552001) 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 383 ways as a sum of consecutive naturals, for example, 328263935872 + ... + 328263936128.

It is an arithmetic number, because the mean of its divisors is an integer number (84941819235).

Almost surely, 2^{84363831552000} is an apocalyptic number.

84363831552000 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 84363831552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195705951517440).

84363831552000 is an abundant number, since it is smaller than the sum of its proper divisors (307048071482880).

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

84363831552000 is a wasteful number, since it uses less digits than its factorization.

84363831552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 84363831552000 in words is "eighty-four trillion, three hundred sixty-three billion, eight hundred thirty-one million, five hundred fifty-two thousand".