12053534400 has 336 divisors, whose sum is σ = 45133138080. Its totient is φ = 3126988800.

The previous prime is 12053534369. The next prime is 12053534401. The reversal of 12053534400 is 443535021.

12053534400 is a `hidden beast` number, since 1 + 205 + 3 + 53 + 4 + 400 = 666.

It is a super-3 number, since 3×12053534400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12053534401) 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, 1594630 + ... + 1602170.

Almost surely, 2^12053534400 is an apocalyptic number.

12053534400 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 12053534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22566569040).

12053534400 is an abundant number, since it is smaller than the sum of its proper divisors (33079603680).

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

12053534400 is a wasteful number, since it uses less digits than its factorization.

12053534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7609 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 12053534400 in words is "twelve billion, fifty-three million, five hundred thirty-four thousand, four hundred".