71605451520 has 216 divisors, whose sum is σ = 256924349136. Its totient is φ = 19094704128.

The previous prime is 71605451513. The next prime is 71605451527. The reversal of 71605451520 is 2515450617.

71605451520 is a `hidden beast` number, since 7 + 1 + 60 + 545 + 1 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71605451513) and next prime (71605451527).

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71605451527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195934 + ... + 426146.

Almost surely, 2^71605451520 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 71605451520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128462174568).

71605451520 is an abundant number, since it is smaller than the sum of its proper divisors (185318897616).

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

71605451520 is an equidigital number, since it uses as much as digits as its factorization.

71605451520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230249 (or 230223 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 71605451520 in words is "seventy-one billion, six hundred five million, four hundred fifty-one thousand, five hundred twenty".