5307417223800 has 384 divisors, whose sum is σ = 17251649395200. Its totient is φ = 1347225200640.

The previous prime is 5307417223769. The next prime is 5307417223819. The reversal of 5307417223800 is 83227147035.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3361251411 + ... + 3361252989.

It is an arithmetic number, because the mean of its divisors is an integer number (44926170300).

Almost surely, 2^{5307417223800} is an apocalyptic number.

5307417223800 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 5307417223800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8625824697600).

5307417223800 is an abundant number, since it is smaller than the sum of its proper divisors (11944232171400).

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

5307417223800 is a wasteful number, since it uses less digits than its factorization.

5307417223800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2647 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 5307417223800 in words is "five trillion, three hundred seven billion, four hundred seventeen million, two hundred twenty-three thousand, eight hundred".