5033612332800 has 864 divisors, whose sum is σ = 19066151563200. Its totient is φ = 1298757058560.

The previous prime is 5033612332799. The next prime is 5033612332817. The reversal of 5033612332800 is 82332163305.

5033612332800 is a `hidden beast` number, since 5 + 0 + 3 + 3 + 612 + 3 + 32 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 668559436 + ... + 668566964.

It is an arithmetic number, because the mean of its divisors is an integer number (22067305050).

Almost surely, 2^{5033612332800} is an apocalyptic number.

5033612332800 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 5033612332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9533075781600).

5033612332800 is an abundant number, since it is smaller than the sum of its proper divisors (14032539230400).

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

5033612332800 is a wasteful number, since it uses less digits than its factorization.

5033612332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7690 (or 7665 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 5033612332800 in words is "five trillion, thirty-three billion, six hundred twelve million, three hundred thirty-two thousand, eight hundred".