71220967833600 has 1224 divisors, whose sum is σ = 278289611658240. Its totient is φ = 17305719275520.

The previous prime is 71220967833599. The next prime is 71220967833709. The reversal of 71220967833600 is 633876902217.

71220967833600 is a `hidden beast` number, since 7 + 1 + 2 + 20 + 9 + 6 + 7 + 8 + 3 + 3 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15143728849 + ... + 15143733551.

Almost surely, 2^{71220967833600} 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 71220967833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139144805829120).

71220967833600 is an abundant number, since it is smaller than the sum of its proper divisors (207068643824640).

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

71220967833600 is a wasteful number, since it uses less digits than its factorization.

71220967833600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4843 (or 4805 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 71220967833600 in words is "seventy-one trillion, two hundred twenty billion, nine hundred sixty-seven million, eight hundred thirty-three thousand, six hundred".