13216888398240 has 384 divisors, whose sum is σ = 46586244096000. Its totient is φ = 3499600204800.

The previous prime is 13216888398221. The next prime is 13216888398283. The reversal of 13216888398240 is 4289388861231.

13216888398240 is a `hidden beast` number, since 1 + 3 + 2 + 168 + 88 + 398 + 2 + 4 + 0 = 666.

It is a super-2 number, since 2×13216888398240² (a number of 27 digits) contains 22 as substring.

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, 2673857209 + ... + 2673862151.

It is an arithmetic number, because the mean of its divisors is an integer number (121318344000).

Almost surely, 2^{13216888398240} is an apocalyptic number.

13216888398240 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 13216888398240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23293122048000).

13216888398240 is an abundant number, since it is smaller than the sum of its proper divisors (33369355697760).

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

13216888398240 is a wasteful number, since it uses less digits than its factorization.

13216888398240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9217 (or 9203 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 13216888398240 in words is "thirteen trillion, two hundred sixteen billion, eight hundred eighty-eight million, three hundred ninety-eight thousand, two hundred forty".