305213232960 has 336 divisors, whose sum is σ = 1121048547840. Its totient is φ = 76048035840.

The previous prime is 305213232941. The next prime is 305213232983. The reversal of 305213232960 is 69232312503.

305213232960 is a `hidden beast` number, since 30 + 521 + 3 + 23 + 29 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2530179 + ... + 2648061.

Almost surely, 2^305213232960 is an apocalyptic number.

305213232960 is a gapful number since it is divisible by the number (30) 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 305213232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560524273920).

305213232960 is an abundant number, since it is smaller than the sum of its proper divisors (815835314880).

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

305213232960 is a wasteful number, since it uses less digits than its factorization.

305213232960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117966 (or 117953 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 305213232960 in words is "three hundred five billion, two hundred thirteen million, two hundred thirty-two thousand, nine hundred sixty".