716281135200 has 864 divisors, whose sum is σ = 2675348204256. Its totient is φ = 180114554880.

The previous prime is 716281135189. The next prime is 716281135247. The reversal of 716281135200 is 2531182617.

716281135200 is a `hidden beast` number, since 7 + 1 + 628 + 1 + 1 + 3 + 5 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1369562139 + ... + 1369562661.

It is an arithmetic number, because the mean of its divisors is an integer number (3096467829).

Almost surely, 2^716281135200 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 716281135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337674102128).

716281135200 is an abundant number, since it is smaller than the sum of its proper divisors (1959067069056).

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

716281135200 is a wasteful number, since it uses less digits than its factorization.

716281135200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 716281135200 in words is "seven hundred sixteen billion, two hundred eighty-one million, one hundred thirty-five thousand, two hundred".