871720995600 has 2835 divisors, whose sum is σ = 4174403930703. Its totient is φ = 174243363840.

The previous prime is 871720995533. The next prime is 871720995601. The reversal of 871720995600 is 6599027178.

The square root of 871720995600 is 933660.

It is a perfect power (a square), and thus also a powerful number.

871720995600 is a `hidden beast` number, since 8 + 7 + 1 + 7 + 20 + 9 + 9 + 5 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 224687376144 + 647033619456 = 474012^2 + 804384^2 .

It is a tau number, because it is divible by the number of its divisors (2835).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (871720995601) by changing a digit.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 45880052391 + ... + 45880052409.

Almost surely, 2^871720995600 is an apocalyptic number.

871720995600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

871720995600 is the 933660-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871720995600

871720995600 is an abundant number, since it is smaller than the sum of its proper divisors (3302682935103).

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

871720995600 is a wasteful number, since it uses less digits than its factorization.

871720995600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 871720995600 in words is "eight hundred seventy-one billion, seven hundred twenty million, nine hundred ninety-five thousand, six hundred".