13457481523200 has 4032 divisors, whose sum is σ = 61617980196864. Its totient is φ = 2866544640000.

The previous prime is 13457481523193. The next prime is 13457481523243. The reversal of 13457481523200 is 232518475431.

13457481523200 is a `hidden beast` number, since 1 + 3 + 4 + 574 + 8 + 1 + 52 + 3 + 20 + 0 = 666.

It is a super-2 number, since 2×13457481523200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 220614451170 + ... + 220614451230.

It is an arithmetic number, because the mean of its divisors is an integer number (15282237152).

Almost surely, 2^{13457481523200} is an apocalyptic number.

13457481523200 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 13457481523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30808990098432).

13457481523200 is an abundant number, since it is smaller than the sum of its proper divisors (48160498673664).

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

13457481523200 is a wasteful number, since it uses less digits than its factorization.

13457481523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

Adding to 13457481523200 its reverse (232518475431), we get a palindrome (13689999998631).

The spelling of 13457481523200 in words is "thirteen trillion, four hundred fifty-seven billion, four hundred eighty-one million, five hundred twenty-three thousand, two hundred".