153533089920 has 1024 divisors, whose sum is σ = 608012697600. Its totient is φ = 32204390400.

The previous prime is 153533089907. The next prime is 153533089921. The reversal of 153533089920 is 29980335351.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 153533089920.

It is not an unprimeable number, because it can be changed into a prime (153533089921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1172008255 + ... + 1172008385.

It is an arithmetic number, because the mean of its divisors is an integer number (593762400).

Almost surely, 2^153533089920 is an apocalyptic number.

153533089920 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 153533089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304006348800).

153533089920 is an abundant number, since it is smaller than the sum of its proper divisors (454479607680).

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

153533089920 is a wasteful number, since it uses less digits than its factorization.

153533089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 48.

The spelling of 153533089920 in words is "one hundred fifty-three billion, five hundred thirty-three million, eighty-nine thousand, nine hundred twenty".