71217037532160 has 1056 divisors, whose sum is σ = 278821082641920. Its totient is φ = 16686474854400.

The previous prime is 71217037532153. The next prime is 71217037532167. The reversal of 71217037532160 is 6123573071217.

71217037532160 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 70 + 37 + 532 + 16 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71217037532153) and next prime (71217037532167).

It is a super-2 number, since 2×71217037532160² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71217037532167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1132753206 + ... + 1132816074.

Almost surely, 2^{71217037532160} 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 71217037532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139410541320960).

71217037532160 is an abundant number, since it is smaller than the sum of its proper divisors (207604045109760).

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

71217037532160 is a wasteful number, since it uses less digits than its factorization.

71217037532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63005 (or 62984 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 71217037532160 in words is "seventy-one trillion, two hundred seventeen billion, thirty-seven million, five hundred thirty-two thousand, one hundred sixty".