71151040528560 has 560 divisors, whose sum is σ = 259267988643840. Its totient is φ = 18129097658880.

The previous prime is 71151040528501. The next prime is 71151040528583. The reversal of 71151040528560 is 6582504015117.

71151040528560 is a `hidden beast` number, since 7 + 1 + 1 + 510 + 4 + 0 + 52 + 85 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 142576597 + ... + 143074763.

Almost surely, 2^{71151040528560} 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 71151040528560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129633994321920).

71151040528560 is an abundant number, since it is smaller than the sum of its proper divisors (188116948115280).

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

71151040528560 is a wasteful number, since it uses less digits than its factorization.

71151040528560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498308 (or 498287 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 71151040528560 in words is "seventy-one trillion, one hundred fifty-one billion, forty million, five hundred twenty-eight thousand, five hundred sixty".