5015383228800 has 768 divisors, whose sum is σ = 21086219443200. Its totient is φ = 1140407009280.

The previous prime is 5015383228771. The next prime is 5015383228813. The reversal of 5015383228800 is 88223835105.

5015383228800 is a `hidden beast` number, since 5 + 0 + 1 + 538 + 32 + 2 + 8 + 80 + 0 = 666.

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

It is a congruent number.

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, 116704917 + ... + 116747883.

It is an arithmetic number, because the mean of its divisors is an integer number (27456014900).

Almost surely, 2^{5015383228800} is an apocalyptic number.

5015383228800 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 5015383228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10543109721600).

5015383228800 is an abundant number, since it is smaller than the sum of its proper divisors (16070836214400).

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

5015383228800 is a wasteful number, since it uses less digits than its factorization.

5015383228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43200 (or 43177 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 5015383228800 in words is "five trillion, fifteen billion, three hundred eighty-three million, two hundred twenty-eight thousand, eight hundred".