84000848080800 has 288 divisors, whose sum is σ = 322563258630144. Its totient is φ = 18580832640000.

The previous prime is 84000848080717. The next prime is 84000848080819. The reversal of 84000848080800 is 808084800048.

It is a super-2 number, since 2×84000848080800² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 84000848080800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80125176 + ... + 81166775.

It is an arithmetic number, because the mean of its divisors is an integer number (1120011314688).

Almost surely, 2^{84000848080800} is an apocalyptic number.

84000848080800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84000848080800 is an abundant number, since it is smaller than the sum of its proper divisors (238562410549344).

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

84000848080800 is a wasteful number, since it uses less digits than its factorization.

84000848080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161292012 (or 161291999 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 48.

The spelling of 84000848080800 in words is "eighty-four trillion, eight hundred forty-eight million, eighty thousand, eight hundred".