5256645049800 has 192 divisors, whose sum is σ = 18158108640000. Its totient is φ = 1397754973440.

The previous prime is 5256645049757. The next prime is 5256645049807. The reversal of 5256645049800 is 89405466525.

5256645049800 is a `hidden beast` number, since 5 + 2 + 56 + 6 + 4 + 504 + 9 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5256645049807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489969 + ... + 3279231.

It is an arithmetic number, because the mean of its divisors is an integer number (94573482500).

Almost surely, 2^{5256645049800} is an apocalyptic number.

5256645049800 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 5256645049800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9079054320000).

5256645049800 is an abundant number, since it is smaller than the sum of its proper divisors (12901463590200).

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

5256645049800 is a wasteful number, since it uses less digits than its factorization.

5256645049800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2789637 (or 2789622 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 5256645049800 in words is "five trillion, two hundred fifty-six billion, six hundred forty-five million, forty-nine thousand, eight hundred".