5030187436800 has 1728 divisors, whose sum is σ = 20967907968000. Its totient is φ = 1173106851840.

The previous prime is 5030187436723. The next prime is 5030187436817. The reversal of 5030187436800 is 86347810305.

5030187436800 is a `hidden beast` number, since 5 + 0 + 30 + 187 + 436 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2189893252 + ... + 2189895548.

It is an arithmetic number, because the mean of its divisors is an integer number (12134206000).

Almost surely, 2^{5030187436800} is an apocalyptic number.

5030187436800 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 5030187436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10483953984000).

5030187436800 is an abundant number, since it is smaller than the sum of its proper divisors (15937720531200).

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

5030187436800 is a wasteful number, since it uses less digits than its factorization.

5030187436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 5030187436800 in words is "five trillion, thirty billion, one hundred eighty-seven million, four hundred thirty-six thousand, eight hundred".