873765914112 has 960 divisors, whose sum is σ = 3214910899200. Its totient is φ = 222300536832.

The previous prime is 873765914083. The next prime is 873765914137. The reversal of 873765914112 is 211419567378.

873765914112 is a `hidden beast` number, since 8 + 7 + 3 + 7 + 6 + 591 + 41 + 1 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3087511923 + ... + 3087512205.

It is an arithmetic number, because the mean of its divisors is an integer number (3348865520).

Almost surely, 2^873765914112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873765914112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607455449600).

873765914112 is an abundant number, since it is smaller than the sum of its proper divisors (2341144985088).

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

873765914112 is a wasteful number, since it uses less digits than its factorization.

873765914112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 544 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 54.

The spelling of 873765914112 in words is "eight hundred seventy-three billion, seven hundred sixty-five million, nine hundred fourteen thousand, one hundred twelve".