71373168900 has 864 divisors, whose sum is σ = 272300071680. Its totient is φ = 15966720000.

The previous prime is 71373168899. The next prime is 71373168907. The reversal of 71373168900 is 986137317.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71373168907) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 394326810 + ... + 394326990.

It is an arithmetic number, because the mean of its divisors is an integer number (315162120).

Almost surely, 2^71373168900 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 71373168900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136150035840).

71373168900 is an abundant number, since it is smaller than the sum of its proper divisors (200926902780).

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

71373168900 is a wasteful number, since it uses less digits than its factorization.

71373168900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 71373168900 in words is "seventy-one billion, three hundred seventy-three million, one hundred sixty-eight thousand, nine hundred".