871366783200 has 576 divisors, whose sum is σ = 3094474440960. Its totient is φ = 212084490240.

The previous prime is 871366783151. The next prime is 871366783201. The reversal of 871366783200 is 2387663178.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871366783201) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 572137639 + ... + 572139161.

It is an arithmetic number, because the mean of its divisors is an integer number (5372351460).

Almost surely, 2^871366783200 is an apocalyptic number.

871366783200 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 871366783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547237220480).

871366783200 is an abundant number, since it is smaller than the sum of its proper divisors (2223107657760).

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

871366783200 is a wasteful number, since it uses less digits than its factorization.

871366783200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 871366783200 in words is "eight hundred seventy-one billion, three hundred sixty-six million, seven hundred eighty-three thousand, two hundred".