84816269112960 has 6144 divisors, whose sum is σ = 418768745472000. Its totient is φ = 15818548838400.

The previous prime is 84816269112947. The next prime is 84816269113007. The reversal of 84816269112960 is 6921196261848.

84816269112960 is a `hidden beast` number, since 8 + 4 + 81 + 6 + 269 + 1 + 1 + 296 + 0 = 666.

84816269112960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

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 767 ways as a sum of consecutive naturals, for example, 490267451434 + ... + 490267451606.

It is an arithmetic number, because the mean of its divisors is an integer number (68158975500).

Almost surely, 2^{84816269112960} is an apocalyptic number.

84816269112960 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 84816269112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209384372736000).

84816269112960 is an abundant number, since it is smaller than the sum of its proper divisors (333952476359040).

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

84816269112960 is a wasteful number, since it uses less digits than its factorization.

84816269112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 84816269112960 in words is "eighty-four trillion, eight hundred sixteen billion, two hundred sixty-nine million, one hundred twelve thousand, nine hundred sixty".