71428730880 has 416 divisors, whose sum is σ = 252880939584. Its totient is φ = 17100177408.

The previous prime is 71428730851. The next prime is 71428730881. The reversal of 71428730880 is 8803782417.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71428730881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29551432 + ... + 29553848.

It is an arithmetic number, because the mean of its divisors is an integer number (607886874).

Almost surely, 2^71428730880 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 71428730880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126440469792).

71428730880 is an abundant number, since it is smaller than the sum of its proper divisors (181452208704).

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

71428730880 is a wasteful number, since it uses less digits than its factorization.

71428730880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The spelling of 71428730880 in words is "seventy-one billion, four hundred twenty-eight million, seven hundred thirty thousand, eight hundred eighty".