71503810560 has 1664 divisors, whose sum is σ = 330261120000. Its totient is φ = 14566293504.

The previous prime is 71503810549. The next prime is 71503810561. The reversal of 71503810560 is 6501830517.

71503810560 is a `hidden beast` number, since 7 + 1 + 50 + 38 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×71503810560² (a number of 23 digits) contains 22 as substring.

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 (71503810561) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2465648626 + ... + 2465648654.

Almost surely, 2^71503810560 is an apocalyptic number.

71503810560 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 71503810560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165130560000).

71503810560 is an abundant number, since it is smaller than the sum of its proper divisors (258757309440).

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

71503810560 is a wasteful number, since it uses less digits than its factorization.

71503810560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 71503810560 in words is "seventy-one billion, five hundred three million, eight hundred ten thousand, five hundred sixty".