13418828755200 has 1296 divisors, whose sum is σ = 54700645809600. Its totient is φ = 3216052224000.

The previous prime is 13418828755153. The next prime is 13418828755223. The reversal of 13418828755200 is 255782881431.

It is a happy number.

13418828755200 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 8 + 8 + 2 + 87 + 552 + 0 + 0 = 666.

It is a super-2 number, since 2×13418828755200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1860879595 + ... + 1860886805.

Almost surely, 2^{13418828755200} is an apocalyptic number.

13418828755200 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 13418828755200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27350322904800).

13418828755200 is an abundant number, since it is smaller than the sum of its proper divisors (41281817054400).

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

13418828755200 is a wasteful number, since it uses less digits than its factorization.

13418828755200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7357 (or 7321 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 13418828755200 in words is "thirteen trillion, four hundred eighteen billion, eight hundred twenty-eight million, seven hundred fifty-five thousand, two hundred".