71260049203200 has 2688 divisors, whose sum is σ = 309700792880640. Its totient is φ = 15836066611200.

The previous prime is 71260049203129. The next prime is 71260049203207. The reversal of 71260049203200 is 230294006217.

71260049203200 is a `hidden beast` number, since 7 + 1 + 2 + 600 + 4 + 9 + 20 + 3 + 20 + 0 = 666.

It is a super-2 number, since 2×71260049203200² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71260049203207) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179496345402 + ... + 179496345798.

It is an arithmetic number, because the mean of its divisors is an integer number (115216068780).

Almost surely, 2^{71260049203200} 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 71260049203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154850396440320).

71260049203200 is an abundant number, since it is smaller than the sum of its proper divisors (238440743677440).

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

71260049203200 is a wasteful number, since it uses less digits than its factorization.

71260049203200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 71260049203200 in words is "seventy-one trillion, two hundred sixty billion, forty-nine million, two hundred three thousand, two hundred".