12026534400 has 960 divisors, whose sum is σ = 49320057600. Its totient is φ = 2854748160.

The previous prime is 12026534393. The next prime is 12026534419. The reversal of 12026534400 is 443562021.

12026534400 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 653 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135129556 + ... + 135129644.

It is an arithmetic number, because the mean of its divisors is an integer number (51375060).

Almost surely, 2^12026534400 is an apocalyptic number.

12026534400 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 12026534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24660028800).

12026534400 is an abundant number, since it is smaller than the sum of its proper divisors (37293523200).

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

12026534400 is a wasteful number, since it uses less digits than its factorization.

12026534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 12026534400 in words is "twelve billion, twenty-six million, five hundred thirty-four thousand, four hundred".