71375050506240 has 2240 divisors, whose sum is σ = 294591609774000. Its totient is φ = 16535758307328.

The previous prime is 71375050506203. The next prime is 71375050506289. The reversal of 71375050506240 is 4260505057317.

It is a happy number.

71375050506240 is a `hidden beast` number, since 7 + 1 + 3 + 7 + 50 + 50 + 506 + 2 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 963350102016 + 70411700404224 = 981504^2 + 8391168^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4198532382712 + ... + 4198532382728.

Almost surely, 2^{71375050506240} 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 71375050506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147295804887000).

71375050506240 is an abundant number, since it is smaller than the sum of its proper divisors (223216559267760).

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

71375050506240 is an frugal number, since it uses more digits than its factorization.

71375050506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 71375050506240 in words is "seventy-one trillion, three hundred seventy-five billion, fifty million, five hundred six thousand, two hundred forty".