504697397318400 has 5184 divisors, whose sum is σ = 2210015309967360. Its totient is φ = 100201660416000.

The previous prime is 504697397318399. The next prime is 504697397318459. The reversal of 504697397318400 is 4813793796405.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 932897222130 + ... + 932897222670.

Almost surely, 2^{504697397318400} is an apocalyptic number.

504697397318400 is a gapful number since it is divisible by the number (50) 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 504697397318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105007654983680).

504697397318400 is an abundant number, since it is smaller than the sum of its proper divisors (1705317912648960).

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

504697397318400 is a wasteful number, since it uses less digits than its factorization.

504697397318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 504697397318400 in words is "five hundred four trillion, six hundred ninety-seven billion, three hundred ninety-seven million, three hundred eighteen thousand, four hundred".