506039112806400 has 4368 divisors, whose sum is σ = 2054527610317056. Its totient is φ = 123248042311680.

The previous prime is 506039112806303. The next prime is 506039112806411. The reversal of 506039112806400 is 4608211930605.

506039112806400 is a `hidden beast` number, since 5 + 0 + 603 + 9 + 11 + 28 + 0 + 6 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 6096856780759 + ... + 6096856780841.

Almost surely, 2^{506039112806400} is an apocalyptic number.

506039112806400 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 506039112806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027263805158528).

506039112806400 is an abundant number, since it is smaller than the sum of its proper divisors (1548488497510656).

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

506039112806400 is an equidigital number, since it uses as much as digits as its factorization.

506039112806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 506039112806400 in words is "five hundred six trillion, thirty-nine billion, one hundred twelve million, eight hundred six thousand, four hundred".