71329835520000 has 1040 divisors, whose sum is σ = 265485667142080. Its totient is φ = 18919194624000.

The previous prime is 71329835519977. The next prime is 71329835520079. The reversal of 71329835520000 is 2553892317.

71329835520000 is a `hidden beast` number, since 7 + 1 + 3 + 2 + 98 + 3 + 552 + 0 + 0 + 0 + 0 = 666.

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 79 ways as a sum of consecutive naturals, for example, 13340157327 + ... + 13340162673.

Almost surely, 2^{71329835520000} 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 71329835520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132742833571040).

71329835520000 is an abundant number, since it is smaller than the sum of its proper divisors (194155831622080).

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

71329835520000 is an equidigital number, since it uses as much as digits as its factorization.

71329835520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5593 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 71329835520000 in words is "seventy-one trillion, three hundred twenty-nine billion, eight hundred thirty-five million, five hundred twenty thousand".