71291465280 has 448 divisors, whose sum is σ = 292315392000. Its totient is φ = 16018200576.

The previous prime is 71291465261. The next prime is 71291465291. The reversal of 71291465280 is 8256419217.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3558331 + ... + 3578309.

Almost surely, 2^71291465280 is an apocalyptic number.

71291465280 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 71291465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146157696000).

71291465280 is an abundant number, since it is smaller than the sum of its proper divisors (221023926720).

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

71291465280 is a wasteful number, since it uses less digits than its factorization.

71291465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20071 (or 20055 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 71291465280 in words is "seventy-one billion, two hundred ninety-one million, four hundred sixty-five thousand, two hundred eighty".