71568900200 has 288 divisors, whose sum is σ = 205241149440. Its totient is φ = 23100940800.

The previous prime is 71568900149. The next prime is 71568900211. The reversal of 71568900200 is 200986517.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11237417 + ... + 11243783.

It is an arithmetic number, because the mean of its divisors is an integer number (712642880).

Almost surely, 2^71568900200 is an apocalyptic number.

71568900200 is a gapful number since it is divisible by the number (70) 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 71568900200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102620574720).

71568900200 is an abundant number, since it is smaller than the sum of its proper divisors (133672249240).

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

71568900200 is a wasteful number, since it uses less digits than its factorization.

71568900200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6465 (or 6449 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The spelling of 71568900200 in words is "seventy-one billion, five hundred sixty-eight million, nine hundred thousand, two hundred".