13453478438400 has 5760 divisors, whose sum is σ = 69815281536000. Its totient is φ = 2474783539200.

The previous prime is 13453478438383. The next prime is 13453478438419. The reversal of 13453478438400 is 483487435431.

13453478438400 is a `hidden beast` number, since 1 + 3 + 4 + 53 + 478 + 43 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 90291801526 + ... + 90291801674.

It is an arithmetic number, because the mean of its divisors is an integer number (12120708600).

Almost surely, 2^{13453478438400} is an apocalyptic number.

13453478438400 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 13453478438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34907640768000).

13453478438400 is an abundant number, since it is smaller than the sum of its proper divisors (56361803097600).

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

13453478438400 is a wasteful number, since it uses less digits than its factorization.

13453478438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 13453478438400 in words is "thirteen trillion, four hundred fifty-three billion, four hundred seventy-eight million, four hundred thirty-eight thousand, four hundred".