5254517233800 has 384 divisors, whose sum is σ = 18472386441600. Its totient is φ = 1372380871680.

The previous prime is 5254517233787. The next prime is 5254517233813. The reversal of 5254517233800 is 83327154525.

5254517233800 is a `hidden beast` number, since 5 + 2 + 54 + 517 + 2 + 3 + 3 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5254517233787) and next prime (5254517233813).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167983762 + ... + 168015038.

It is an arithmetic number, because the mean of its divisors is an integer number (48105173025).

Almost surely, 2^{5254517233800} is an apocalyptic number.

5254517233800 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 5254517233800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9236193220800).

5254517233800 is an abundant number, since it is smaller than the sum of its proper divisors (13217869207800).

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

5254517233800 is a wasteful number, since it uses less digits than its factorization.

5254517233800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31942 (or 31927 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 5254517233800 in words is "five trillion, two hundred fifty-four billion, five hundred seventeen million, two hundred thirty-three thousand, eight hundred".