153330241680 has 1280 divisors, whose sum is σ = 700583731200. Its totient is φ = 30108672000.

The previous prime is 153330241601. The next prime is 153330241693. The reversal of 153330241680 is 86142033351.

153330241680 is a `hidden beast` number, since 1 + 5 + 3 + 330 + 241 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 382369480 + ... + 382369880.

It is an arithmetic number, because the mean of its divisors is an integer number (547331040).

Almost surely, 2^153330241680 is an apocalyptic number.

153330241680 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 153330241680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350291865600).

153330241680 is an abundant number, since it is smaller than the sum of its proper divisors (547253489520).

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

153330241680 is a wasteful number, since it uses less digits than its factorization.

153330241680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 153330241680 in words is "one hundred fifty-three billion, three hundred thirty million, two hundred forty-one thousand, six hundred eighty".