874342788883200 has 5184 divisors, whose sum is σ = 4101125711155200. Its totient is φ = 172749304627200.

The previous prime is 874342788883169. The next prime is 874342788883219. The reversal of 874342788883200 is 2388887243478.

874342788883200 is a `hidden beast` number, since 8 + 7 + 4 + 342 + 78 + 8 + 8 + 8 + 3 + 200 = 666.

874342788883200 is digitally balanced in base 2, 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 (72).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1489510713307 + ... + 1489510713893.

It is an arithmetic number, because the mean of its divisors is an integer number (791112212800).

Almost surely, 2^{874342788883200} is an apocalyptic number.

874342788883200 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 874342788883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050562855577600).

874342788883200 is an abundant number, since it is smaller than the sum of its proper divisors (3226782922272000).

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

874342788883200 is a wasteful number, since it uses less digits than its factorization.

874342788883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 924844032, while the sum is 72.

The spelling of 874342788883200 in words is "eight hundred seventy-four trillion, three hundred forty-two billion, seven hundred eighty-eight million, eight hundred eighty-three thousand, two hundred".