71052804043200 has 1008 divisors, whose sum is σ = 291927763355904. Its totient is φ = 16054895001600.

The previous prime is 71052804043163. The next prime is 71052804043213. The reversal of 71052804043200 is 234040825017.

It is a happy number.

71052804043200 is a `hidden beast` number, since 7 + 10 + 5 + 280 + 40 + 4 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5295722892 + ... + 5295736308.

Almost surely, 2^{71052804043200} is an apocalyptic number.

71052804043200 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 71052804043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145963881677952).

71052804043200 is an abundant number, since it is smaller than the sum of its proper divisors (220874959312704).

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

71052804043200 is a wasteful number, since it uses less digits than its factorization.

71052804043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14050 (or 14032 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 71052804043200 its reverse (234040825017), we get a palindrome (71286844868217).

The spelling of 71052804043200 in words is "seventy-one trillion, fifty-two billion, eight hundred four million, forty-three thousand, two hundred".