873294428160000 has 9600 divisors, whose sum is σ = 4528260572774400. Its totient is φ = 160526499840000.

The previous prime is 873294428159953. The next prime is 873294428160043. The reversal of 873294428160000 is 61824492378.

873294428160000 is a `hidden beast` number, since 8 + 7 + 3 + 2 + 9 + 4 + 4 + 28 + 1 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (9600).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 6876334079937 + ... + 6876334080063.

It is an arithmetic number, because the mean of its divisors is an integer number (471693809664).

Almost surely, 2^{873294428160000} is an apocalyptic number.

873294428160000 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 873294428160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264130286387200).

873294428160000 is an abundant number, since it is smaller than the sum of its proper divisors (3654966144614400).

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

873294428160000 is a wasteful number, since it uses less digits than its factorization.

873294428160000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 873294428160000 in words is "eight hundred seventy-three trillion, two hundred ninety-four billion, four hundred twenty-eight million, one hundred sixty thousand".