71438975520000 has 1440 divisors, whose sum is σ = 273476309568000. Its totient is φ = 16368168960000.

The previous prime is 71438975519941. The next prime is 71438975520041. The reversal of 71438975520000 is 2557983417.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 83165279571 + ... + 83165280429.

Almost surely, 2^{71438975520000} 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 71438975520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136738154784000).

71438975520000 is an abundant number, since it is smaller than the sum of its proper divisors (202037334048000).

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

71438975520000 is a wasteful number, since it uses less digits than its factorization.

71438975520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1757 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 71438975520000 in words is "seventy-one trillion, four hundred thirty-eight billion, nine hundred seventy-five million, five hundred twenty thousand".