71531880000 has 1120 divisors, whose sum is σ = 290076745728. Its totient is φ = 15206400000.

The previous prime is 71531879983. The next prime is 71531880019. The reversal of 71531880000 is 8813517.

It is a tau number, because it is divible by the number of its divisors (1120).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1067639967 + ... + 1067640033.

Almost surely, 2^71531880000 is an apocalyptic number.

71531880000 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 71531880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145038372864).

71531880000 is an abundant number, since it is smaller than the sum of its proper divisors (218544865728).

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

71531880000 is a wasteful number, since it uses less digits than its factorization.

71531880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 71531880000 in words is "seventy-one billion, five hundred thirty-one million, eight hundred eighty thousand".