13582400365380 has 192 divisors, whose sum is σ = 47446835208192. Its totient is φ = 2820417538560.

The previous prime is 13582400365357. The next prime is 13582400365447. The reversal of 13582400365380 is 8356300428531.

It is a happy number.

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, 5881402 + ... + 7858478.

It is an arithmetic number, because the mean of its divisors is an integer number (247118933376).

Almost surely, 2^{13582400365380} is an apocalyptic number.

13582400365380 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 13582400365380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23723417604096).

13582400365380 is an abundant number, since it is smaller than the sum of its proper divisors (33864434842812).

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

13582400365380 is a wasteful number, since it uses less digits than its factorization.

13582400365380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978594 (or 1978592 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 13582400365380 in words is "thirteen trillion, five hundred eighty-two billion, four hundred million, three hundred sixty-five thousand, three hundred eighty".