71998516800 has 504 divisors, whose sum is σ = 301904026112. Its totient is φ = 15925248000.

The previous prime is 71998516741. The next prime is 71998516817. The reversal of 71998516800 is 861589917.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

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, 3113280 + ... + 3136320.

Almost surely, 2^71998516800 is an apocalyptic number.

71998516800 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 71998516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150952013056).

71998516800 is an abundant number, since it is smaller than the sum of its proper divisors (229905509312).

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

71998516800 is a wasteful number, since it uses less digits than its factorization.

71998516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23107 (or 23089 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 71998516800 in words is "seventy-one billion, nine hundred ninety-eight million, five hundred sixteen thousand, eight hundred".