1533230899200 has 2688 divisors, whose sum is σ = 7590304189440. Its totient is φ = 293024563200.

The previous prime is 1533230899199. The next prime is 1533230899217. The reversal of 1533230899200 is 29980323351.

1533230899200 is a `hidden beast` number, since 1 + 5 + 332 + 30 + 89 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

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 (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5535129462 + ... + 5535129738.

It is an arithmetic number, because the mean of its divisors is an integer number (2823773880).

Almost surely, 2^{1533230899200} is an apocalyptic number.

1533230899200 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 1533230899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3795152094720).

1533230899200 is an abundant number, since it is smaller than the sum of its proper divisors (6057073290240).

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

1533230899200 is a wasteful number, since it uses less digits than its factorization.

1533230899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 1533230899200 in words is "one trillion, five hundred thirty-three billion, two hundred thirty million, eight hundred ninety-nine thousand, two hundred".