71251307059200 has 288 divisors, whose sum is σ = 241912950486480. Its totient is φ = 18486824140800.

The previous prime is 71251307059133. The next prime is 71251307059217. The reversal of 71251307059200 is 295070315217.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 585391 + ... + 11951790.

Almost surely, 2^{71251307059200} 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 71251307059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120956475243240).

71251307059200 is an abundant number, since it is smaller than the sum of its proper divisors (170661643427280).

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

71251307059200 is a wasteful number, since it uses less digits than its factorization.

71251307059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12537253 (or 12537228 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 71251307059200 in words is "seventy-one trillion, two hundred fifty-one billion, three hundred seven million, fifty-nine thousand, two hundred".