153303001680 has 160 divisors (see below), whose sum is σ = 479541628800. Its totient is φ = 40512116736.

The previous prime is 153303001679. The next prime is 153303001729. The reversal of 153303001680 is 86100303351.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14652291 + ... + 14662749.

It is an arithmetic number, because the mean of its divisors is an integer number (2997135180).

Almost surely, 2^153303001680 is an apocalyptic number.

153303001680 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 153303001680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239770814400).

153303001680 is an abundant number, since it is smaller than the sum of its proper divisors (326238627120).

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

153303001680 is a wasteful number, since it uses less digits than its factorization.

153303001680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11021 (or 11015 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The spelling of 153303001680 in words is "one hundred fifty-three billion, three hundred three million, one thousand, six hundred eighty".