11824664370728 has 64 divisors (see below), whose sum is σ = 24498251366400. Its totient is φ = 5305668338880.

The previous prime is 11824664370709. The next prime is 11824664370731. The reversal of 11824664370728 is 82707346642811.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32514425 + ... + 32876087.

It is an arithmetic number, because the mean of its divisors is an integer number (382785177600).

Almost surely, 2^{11824664370728} 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 11824664370728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249125683200).

11824664370728 is an abundant number, since it is smaller than the sum of its proper divisors (12673586995672).

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

11824664370728 is a wasteful number, since it uses less digits than its factorization.

11824664370728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366462 (or 366458 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 59.

The spelling of 11824664370728 in words is "eleven trillion, eight hundred twenty-four billion, six hundred sixty-four million, three hundred seventy thousand, seven hundred twenty-eight".