871473884871600 has 480 divisors, whose sum is σ = 3153139055827200. Its totient is φ = 228578124902400.

The previous prime is 871473884871589. The next prime is 871473884871607. The reversal of 871473884871600 is 6178488374178.

871473884871600 is a `hidden beast` number, since 8 + 7 + 1 + 4 + 7 + 3 + 8 + 8 + 4 + 8 + 7 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (871473884871607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 157146871 + ... + 162597929.

It is an arithmetic number, because the mean of its divisors is an integer number (6569039699640).

Almost surely, 2^{871473884871600} is an apocalyptic number.

871473884871600 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 871473884871600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576569527913600).

871473884871600 is an abundant number, since it is smaller than the sum of its proper divisors (2281665170955600).

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

871473884871600 is a wasteful number, since it uses less digits than its factorization.

871473884871600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451330 (or 5451313 counting only the distinct ones).

The product of its (nonzero) digits is 404619264, while the sum is 72.

The spelling of 871473884871600 in words is "eight hundred seventy-one trillion, four hundred seventy-three billion, eight hundred eighty-four million, eight hundred seventy-one thousand, six hundred".