873264888000 has 1120 divisors, whose sum is σ = 3367813033728. Its totient is φ = 223202304000.

The previous prime is 873264887983. The next prime is 873264888017. The reversal of 873264888000 is 888462378.

873264888000 is a `hidden beast` number, since 87 + 3 + 2 + 6 + 488 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (873264887983) and next prime (873264888017).

It is a super-3 number, since 3×873264888000³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1614167730 + ... + 1614168270.

Almost surely, 2^873264888000 is an apocalyptic number.

873264888000 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 873264888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1683906516864).

873264888000 is an abundant number, since it is smaller than the sum of its proper divisors (2494548145728).

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

873264888000 is a wasteful number, since it uses less digits than its factorization.

873264888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 873264888000 in words is "eight hundred seventy-three billion, two hundred sixty-four million, eight hundred eighty-eight thousand".