71483039971200 has 4608 divisors, whose sum is σ = 328163996160000. Its totient is φ = 14566293504000.

The previous prime is 71483039971181. The next prime is 71483039971201. The reversal of 71483039971200 is 217993038417.

71483039971200 is a `hidden beast` number, since 7 + 1 + 48 + 3 + 0 + 399 + 7 + 1 + 200 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71483039971201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 159204988576 + ... + 159204989024.

It is an arithmetic number, because the mean of its divisors is an integer number (71216145000).

Almost surely, 2^{71483039971200} 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 71483039971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164081998080000).

71483039971200 is an abundant number, since it is smaller than the sum of its proper divisors (256680956188800).

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

71483039971200 is a wasteful number, since it uses less digits than its factorization.

71483039971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 71483039971200 in words is "seventy-one trillion, four hundred eighty-three billion, thirty-nine million, nine hundred seventy-one thousand, two hundred".