71507812207104 has 2240 divisors, whose sum is σ = 275020545558528. Its totient is φ = 18059231232000.

The previous prime is 71507812207081. The next prime is 71507812207141. The reversal of 71507812207104 is 40170221870517.

It is a happy number.

71507812207104 is a `hidden beast` number, since 7 + 1 + 507 + 8 + 12 + 20 + 7 + 104 = 666.

It is a super-2 number, since 2×71507812207104² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 71507812207104.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 118981384404 + ... + 118981385004.

Almost surely, 2^{71507812207104} 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 71507812207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137510272779264).

71507812207104 is an abundant number, since it is smaller than the sum of its proper divisors (203512733351424).

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

71507812207104 is a wasteful number, since it uses less digits than its factorization.

71507812207104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 71507812207104 in words is "seventy-one trillion, five hundred seven billion, eight hundred twelve million, two hundred seven thousand, one hundred four".