71311897800 has 1152 divisors, whose sum is σ = 302100664320. Its totient is φ = 15396480000.

The previous prime is 71311897781. The next prime is 71311897843. The reversal of 71311897800 is 879811317.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 215443635 + ... + 215443965.

It is an arithmetic number, because the mean of its divisors is an integer number (262240160).

Almost surely, 2^71311897800 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 71311897800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151050332160).

71311897800 is an abundant number, since it is smaller than the sum of its proper divisors (230788766520).

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

71311897800 is a wasteful number, since it uses less digits than its factorization.

71311897800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 71311897800 in words is "seventy-one billion, three hundred eleven million, eight hundred ninety-seven thousand, eight hundred".