153329561280 has 896 divisors, whose sum is σ = 651540480000. Its totient is φ = 33895895040.

The previous prime is 153329561263. The next prime is 153329561351. The reversal of 153329561280 is 82165923351.

153329561280 is a `hidden beast` number, since 1 + 5 + 3 + 3 + 2 + 9 + 561 + 2 + 80 = 666.

153329561280 is digitally balanced in base 2, 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 (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 127 ways as a sum of consecutive naturals, for example, 91868286 + ... + 91869954.

Almost surely, 2^153329561280 is an apocalyptic number.

153329561280 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 153329561280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325770240000).

153329561280 is an abundant number, since it is smaller than the sum of its proper divisors (498210918720).

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

153329561280 is a wasteful number, since it uses less digits than its factorization.

153329561280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 153329561280 in words is "one hundred fifty-three billion, three hundred twenty-nine million, five hundred sixty-one thousand, two hundred eighty".