13398243600 has 240 divisors, whose sum is σ = 50742645120. Its totient is φ = 2956800000.

The previous prime is 13398243553. The next prime is 13398243601. The reversal of 13398243600 is 634289331.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13398243601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 216100 + ... + 271100.

It is an arithmetic number, because the mean of its divisors is an integer number (211427688).

Almost surely, 2^13398243600 is an apocalyptic number.

13398243600 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 13398243600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25371322560).

13398243600 is an abundant number, since it is smaller than the sum of its proper divisors (37344401520).

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

13398243600 is a wasteful number, since it uses less digits than its factorization.

13398243600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55058 (or 55047 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 13398243600 in words is "thirteen billion, three hundred ninety-eight million, two hundred forty-three thousand, six hundred".