71250412800 has 216 divisors, whose sum is σ = 268733313856. Its totient is φ = 16285777920.

The previous prime is 71250412757. The next prime is 71250412817. The reversal of 71250412800 is 821405217.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130669 + ... + 399468.

Almost surely, 2^71250412800 is an apocalyptic number.

71250412800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

71250412800 is an abundant number, since it is smaller than the sum of its proper divisors (197482901056).

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

71250412800 is a wasteful number, since it uses less digits than its factorization.

71250412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530173 (or 530154 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The spelling of 71250412800 in words is "seventy-one billion, two hundred fifty million, four hundred twelve thousand, eight hundred".