71375812485120 has 3584 divisors, whose sum is σ = 313899328512000. Its totient is φ = 15148945244160.

The previous prime is 71375812485013. The next prime is 71375812485121. The reversal of 71375812485120 is 2158421857317.

71375812485120 is a `hidden beast` number, since 7 + 1 + 3 + 7 + 5 + 81 + 2 + 48 + 512 + 0 = 666.

It is a super-2 number, since 2×71375812485120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71375812485121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 362313768862 + ... + 362313769058.

It is an arithmetic number, because the mean of its divisors is an integer number (87583518000).

Almost surely, 2^{71375812485120} 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 71375812485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156949664256000).

71375812485120 is an abundant number, since it is smaller than the sum of its proper divisors (242523516026880).

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

71375812485120 is a wasteful number, since it uses less digits than its factorization.

71375812485120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 71375812485120 in words is "seventy-one trillion, three hundred seventy-five billion, eight hundred twelve million, four hundred eighty-five thousand, one hundred twenty".