71398596568320 has 1296 divisors, whose sum is σ = 293070857631552. Its totient is φ = 15998604410880.

The previous prime is 71398596568303. The next prime is 71398596568339. The reversal of 71398596568320 is 2386569589317.

71398596568320 is a `hidden beast` number, since 7 + 1 + 3 + 9 + 8 + 59 + 6 + 568 + 3 + 2 + 0 = 666.

71398596568320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6137585224 + ... + 6137596856.

It is an arithmetic number, because the mean of its divisors is an integer number (226134921012).

Almost surely, 2^{71398596568320} is an apocalyptic number.

71398596568320 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 71398596568320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146535428815776).

71398596568320 is an abundant number, since it is smaller than the sum of its proper divisors (221672261063232).

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

71398596568320 is a wasteful number, since it uses less digits than its factorization.

71398596568320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11888 (or 11864 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 71398596568320 in words is "seventy-one trillion, three hundred ninety-eight billion, five hundred ninety-six million, five hundred sixty-eight thousand, three hundred twenty".