71515211040 has 2304 divisors, whose sum is σ = 349505694720. Its totient is φ = 13377208320.

The previous prime is 71515210961. The next prime is 71515211059. The reversal of 71515211040 is 4011251517.

It is a super-2 number, since 2×71515211040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 71515210995 and 71515211013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1744273420 + ... + 1744273460.

It is an arithmetic number, because the mean of its divisors is an integer number (151695180).

Almost surely, 2^71515211040 is an apocalyptic number.

71515211040 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 71515211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174752847360).

71515211040 is an abundant number, since it is smaller than the sum of its proper divisors (277990483680).

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

71515211040 is a wasteful number, since it uses less digits than its factorization.

71515211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 71515211040 its reverse (4011251517), we get a palindrome (75526462557).

The spelling of 71515211040 in words is "seventy-one billion, five hundred fifteen million, two hundred eleven thousand, forty".