11329925447680 has 768 divisors, whose sum is σ = 32508668206800. Its totient is φ = 3778648473600.

The previous prime is 11329925447677. The next prime is 11329925447699. The reversal of 11329925447680 is 8674452992311.

It can be written as a sum of positive squares in 8 ways, for example, as 5094157336576 + 6235768111104 = 2257024^2 + 2497152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72165130162 + ... + 72165130318.

It is a 1-persistent number, because it is pandigital, but 2⋅11329925447680 = 22659850895360 is not.

Almost surely, 2^{11329925447680} is an apocalyptic number.

11329925447680 is a gapful number since it is divisible by the number (10) 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 11329925447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16254334103400).

11329925447680 is an abundant number, since it is smaller than the sum of its proper divisors (21178742759120).

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

11329925447680 is an equidigital number, since it uses as much as digits as its factorization.

11329925447680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 61.

The spelling of 11329925447680 in words is "eleven trillion, three hundred twenty-nine billion, nine hundred twenty-five million, four hundred forty-seven thousand, six hundred eighty".