71388109200 has 120 divisors (see below), whose sum is σ = 228796356096. Its totient is φ = 19027136000.

The previous prime is 71388109187. The next prime is 71388109211. The reversal of 71388109200 is 290188317.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×71388109200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2519110 + ... + 2547290.

Almost surely, 2^71388109200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71388109200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114398178048).

71388109200 is an abundant number, since it is smaller than the sum of its proper divisors (157408246896).

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

71388109200 is a wasteful number, since it uses less digits than its factorization.

71388109200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30313 (or 30302 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 71388109200 in words is "seventy-one billion, three hundred eighty-eight million, one hundred nine thousand, two hundred".