153433220304000 has 2048 divisors, whose sum is σ = 653864356454400. Its totient is φ = 30961999872000.

The previous prime is 153433220303999. The next prime is 153433220304041. The reversal of 153433220304000 is 403022334351.

153433220304000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9535335955 + ... + 9535352045.

It is an arithmetic number, because the mean of its divisors is an integer number (319269705300).

Almost surely, 2^{153433220304000} is an apocalyptic number.

153433220304000 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 153433220304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326932178227200).

153433220304000 is an abundant number, since it is smaller than the sum of its proper divisors (500431136150400).

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

153433220304000 is a wasteful number, since it uses less digits than its factorization.

153433220304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16239 (or 16217 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 153433220304000 its reverse (403022334351), we get a palindrome (153836242638351).

The spelling of 153433220304000 in words is "one hundred fifty-three trillion, four hundred thirty-three billion, two hundred twenty million, three hundred four thousand".