871402664160 has 1296 divisors, whose sum is σ = 3644711362656. Its totient is φ = 188987904000.

The previous prime is 871402664123. The next prime is 871402664161. The reversal of 871402664160 is 61466204178.

871402664160 is a `hidden beast` number, since 87 + 1 + 402 + 6 + 6 + 4 + 160 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871402664161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4814379270 + ... + 4814379450.

It is an arithmetic number, because the mean of its divisors is an integer number (2812277286).

Almost surely, 2^871402664160 is an apocalyptic number.

871402664160 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 871402664160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822355681328).

871402664160 is an abundant number, since it is smaller than the sum of its proper divisors (2773308698496).

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

871402664160 is a wasteful number, since it uses less digits than its factorization.

871402664160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 871402664160 in words is "eight hundred seventy-one billion, four hundred two million, six hundred sixty-four thousand, one hundred sixty".