504231073920 has 1024 divisors, whose sum is σ = 2097152640000. Its totient is φ = 114449448960.

The previous prime is 504231073837. The next prime is 504231073961. The reversal of 504231073920 is 29370132405.

504231073920 is a `hidden beast` number, since 504 + 23 + 107 + 3 + 9 + 20 = 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 127 ways as a sum of consecutive naturals, for example, 1428416464 + ... + 1428416816.

It is an arithmetic number, because the mean of its divisors is an integer number (2048000625).

Almost surely, 2^504231073920 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 504231073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1048576320000).

504231073920 is an abundant number, since it is smaller than the sum of its proper divisors (1592921566080).

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

504231073920 is a wasteful number, since it uses less digits than its factorization.

504231073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 504231073920 in words is "five hundred four billion, two hundred thirty-one million, seventy-three thousand, nine hundred twenty".