871787016400 has 60 divisors (see below), whose sum is σ = 2217672342252. Its totient is φ = 328202168320.

The previous prime is 871787016391. The next prime is 871787016409. The reversal of 871787016400 is 4610787178.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (871787016391) and next prime (871787016409).

It can be written as a sum of positive squares in 6 ways, for example, as 71699701824 + 800087314576 = 267768^2 + 894476^2 .

It is a super-2 number, since 2×871787016400² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871787016409) 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 11 ways as a sum of consecutive naturals, for example, 64095187 + ... + 64108786.

Almost surely, 2^871787016400 is an apocalyptic number.

871787016400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

871787016400 is an abundant number, since it is smaller than the sum of its proper divisors (1345885325852).

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

871787016400 is a wasteful number, since it uses less digits than its factorization.

871787016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128204008 (or 128203997 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 49.

The spelling of 871787016400 in words is "eight hundred seventy-one billion, seven hundred eighty-seven million, sixteen thousand, four hundred".