873819601200 has 1440 divisors, whose sum is σ = 3884268390912. Its totient is φ = 177002496000.

The previous prime is 873819601199. The next prime is 873819601231. The reversal of 873819601200 is 2106918378.

873819601200 is a `hidden beast` number, since 8 + 7 + 3 + 8 + 19 + 601 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 899916715 + ... + 899917685.

Almost surely, 2^873819601200 is an apocalyptic number.

873819601200 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 873819601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942134195456).

873819601200 is an abundant number, since it is smaller than the sum of its proper divisors (3010448789712).

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

873819601200 is a wasteful number, since it uses less digits than its factorization.

873819601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 873819601200 in words is "eight hundred seventy-three billion, eight hundred nineteen million, six hundred one thousand, two hundred".