84900348352800 has 2016 divisors, whose sum is σ = 348524736239232. Its totient is φ = 20074053795840.

The previous prime is 84900348352793. The next prime is 84900348352801. The reversal of 84900348352800 is 825384300948.

84900348352800 is a `hidden beast` number, since 8 + 4 + 9 + 0 + 0 + 34 + 83 + 528 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (84900348352801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 15278087622 + ... + 15278093178.

It is an arithmetic number, because the mean of its divisors is an integer number (172879333452).

Almost surely, 2^{84900348352800} is an apocalyptic number.

84900348352800 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 84900348352800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174262368119616).

84900348352800 is an abundant number, since it is smaller than the sum of its proper divisors (263624387886432).

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

84900348352800 is a wasteful number, since it uses less digits than its factorization.

84900348352800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5702 (or 5674 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 84900348352800 in words is "eighty-four trillion, nine hundred billion, three hundred forty-eight million, three hundred fifty-two thousand, eight hundred".