33053126400 has 810 divisors, whose sum is σ = 138436399920. Its totient is φ = 7523389440.

The previous prime is 33053126383. The next prime is 33053126411. The reversal of 33053126400 is 462135033.

It is a happy number.

33053126400 is a `hidden beast` number, since 3 + 3 + 0 + 5 + 3 + 12 + 640 + 0 = 666.

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 89 ways as a sum of consecutive naturals, for example, 138297481 + ... + 138297719.

Almost surely, 2^33053126400 is an apocalyptic number.

33053126400 is a gapful number since it is divisible by the number (30) 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 33053126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69218199960).

33053126400 is an abundant number, since it is smaller than the sum of its proper divisors (105383273520).

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

33053126400 is an equidigital number, since it uses as much as digits as its factorization.

33053126400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 33053126400 in words is "thirty-three billion, fifty-three million, one hundred twenty-six thousand, four hundred".