71280839448000 has 672 divisors, whose sum is σ = 313825804656000. Its totient is φ = 15039472435200.

The previous prime is 71280839447957. The next prime is 71280839448031. The reversal of 71280839448000 is 84493808217.

It is a happy number.

71280839448000 is a `hidden beast` number, since 7 + 1 + 2 + 80 + 83 + 9 + 4 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1112376 + ... + 11991624.

It is an arithmetic number, because the mean of its divisors is an integer number (467002685500).

Almost surely, 2^{71280839448000} is an apocalyptic number.

71280839448000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71280839448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156912902328000).

71280839448000 is an abundant number, since it is smaller than the sum of its proper divisors (242544965208000).

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

71280839448000 is a wasteful number, since it uses less digits than its factorization.

71280839448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10879302 (or 10879279 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 71280839448000 in words is "seventy-one trillion, two hundred eighty billion, eight hundred thirty-nine million, four hundred forty-eight thousand".