305420013520000 has 640 divisors, whose sum is σ = 800529224647680. Its totient is φ = 115893504000000.

The previous prime is 305420013519919. The next prime is 305420013520003. The reversal of 305420013520000 is 25310024503.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (305420013520003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37701515950 + ... + 37701524050.

It is an arithmetic number, because the mean of its divisors is an integer number (1250826913512).

Almost surely, 2^{305420013520000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305420013520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400264612323840).

305420013520000 is an abundant number, since it is smaller than the sum of its proper divisors (495109211127680).

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

305420013520000 is an equidigital number, since it uses as much as digits as its factorization.

305420013520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8490 (or 8463 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 305420013520000 its reverse (25310024503), we get a palindrome (305445323544503).

The spelling of 305420013520000 in words is "three hundred five trillion, four hundred twenty billion, thirteen million, five hundred twenty thousand".