71149532160 has 352 divisors, whose sum is σ = 271394076672. Its totient is φ = 15555133440.

The previous prime is 71149532119. The next prime is 71149532213. The reversal of 71149532160 is 6123594117.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2458575 + ... + 2487345.

Almost surely, 2^71149532160 is an apocalyptic number.

71149532160 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 71149532160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135697038336).

71149532160 is an abundant number, since it is smaller than the sum of its proper divisors (200244544512).

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

71149532160 is a wasteful number, since it uses less digits than its factorization.

71149532160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28829 (or 28811 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 71149532160 in words is "seventy-one billion, one hundred forty-nine million, five hundred thirty-two thousand, one hundred sixty".