5013646501500 has 1152 divisors, whose sum is σ = 20863121190912. Its totient is φ = 984416716800.

The previous prime is 5013646501427. The next prime is 5013646501529. The reversal of 5013646501500 is 51056463105.

5013646501500 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 646 + 5 + 0 + 1 + 5 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 348477307 + ... + 348491693.

It is an arithmetic number, because the mean of its divisors is an integer number (18110348256).

Almost surely, 2^{5013646501500} is an apocalyptic number.

5013646501500 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 5013646501500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10431560595456).

5013646501500 is an abundant number, since it is smaller than the sum of its proper divisors (15849474689412).

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

5013646501500 is a wasteful number, since it uses less digits than its factorization.

5013646501500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14492 (or 14477 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 5013646501500 in words is "five trillion, thirteen billion, six hundred forty-six million, five hundred one thousand, five hundred".