871283276640 has 1152 divisors, whose sum is σ = 3674885760000. Its totient is φ = 187378458624.

The previous prime is 871283276609. The next prime is 871283276653. The reversal of 871283276640 is 46672382178.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2130276756 + ... + 2130277164.

It is an arithmetic number, because the mean of its divisors is an integer number (3190005000).

Almost surely, 2^871283276640 is an apocalyptic number.

871283276640 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 871283276640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837442880000).

871283276640 is an abundant number, since it is smaller than the sum of its proper divisors (2803602483360).

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

871283276640 is a wasteful number, since it uses less digits than its factorization.

871283276640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 871283276640 in words is "eight hundred seventy-one billion, two hundred eighty-three million, two hundred seventy-six thousand, six hundred forty".