871520166014400 has 2352 divisors, whose sum is σ = 3798119415021568. Its totient is φ = 192724850534400.

The previous prime is 871520166014341. The next prime is 871520166014411. The reversal of 871520166014400 is 4410661025178.

871520166014400 is a `hidden beast` number, since 8 + 7 + 1 + 5 + 20 + 16 + 601 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 243237555009 + ... + 243237558591.

Almost surely, 2^{871520166014400} is an apocalyptic number.

871520166014400 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 871520166014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1899059707510784).

871520166014400 is an abundant number, since it is smaller than the sum of its proper divisors (2926599249007168).

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

871520166014400 is an frugal number, since it uses more digits than its factorization.

871520166014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3723 (or 3631 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 871520166014400 in words is "eight hundred seventy-one trillion, five hundred twenty billion, one hundred sixty-six million, fourteen thousand, four hundred".