9713824505880 has 512 divisors, whose sum is σ = 33593439744000. Its totient is φ = 2225163745280.

The previous prime is 9713824505839. The next prime is 9713824505881. The reversal of 9713824505880 is 885054283179.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9713824505881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 512674567 + ... + 512693513.

It is an arithmetic number, because the mean of its divisors is an integer number (65612187000).

Almost surely, 2^{9713824505880} 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 9713824505880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16796719872000).

9713824505880 is an abundant number, since it is smaller than the sum of its proper divisors (23879615238120).

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

9713824505880 is a wasteful number, since it uses less digits than its factorization.

9713824505880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19287 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 9713824505880 in words is "nine trillion, seven hundred thirteen billion, eight hundred twenty-four million, five hundred five thousand, eight hundred eighty".