504900741120 has 384 divisors, whose sum is σ = 1677899059200. Its totient is φ = 129520173056.

The previous prime is 504900741101. The next prime is 504900741193. The reversal of 504900741120 is 21147009405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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, 85183597 + ... + 85189523.

It is an arithmetic number, because the mean of its divisors is an integer number (4369528800).

Almost surely, 2^504900741120 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 504900741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838949529600).

504900741120 is an abundant number, since it is smaller than the sum of its proper divisors (1172998318080).

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

504900741120 is a wasteful number, since it uses less digits than its factorization.

504900741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6063 (or 6043 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 504900741120 in words is "five hundred four billion, nine hundred million, seven hundred forty-one thousand, one hundred twenty".