5019140505600 has 1440 divisors, whose sum is σ = 20150415290880. Its totient is φ = 1232614195200.

The previous prime is 5019140505583. The next prime is 5019140505653. The reversal of 5019140505600 is 65050419105.

5019140505600 is a `hidden beast` number, since 5 + 0 + 1 + 9 + 1 + 40 + 5 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11645337385 + ... + 11645337815.

It is an arithmetic number, because the mean of its divisors is an integer number (13993343952).

Almost surely, 2^{5019140505600} is an apocalyptic number.

5019140505600 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 5019140505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10075207645440).

5019140505600 is an abundant number, since it is smaller than the sum of its proper divisors (15131274785280).

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

5019140505600 is an frugal number, since it uses more digits than its factorization.

5019140505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 5019140505600 in words is "five trillion, nineteen billion, one hundred forty million, five hundred five thousand, six hundred".