5105550005064 has 384 divisors, whose sum is σ = 15094759680000. Its totient is φ = 1615027486464.

The previous prime is 5105550005033. The next prime is 5105550005081. The reversal of 5105550005064 is 4605000555015.

5105550005064 is a `hidden beast` number, since 51 + 0 + 5 + 550 + 0 + 0 + 50 + 6 + 4 = 666.

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

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, 546101862 + ... + 546111210.

It is an arithmetic number, because the mean of its divisors is an integer number (39309270000).

Almost surely, 2^{5105550005064} is an apocalyptic number.

5105550005064 is a gapful number since it is divisible by the number (54) 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 5105550005064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7547379840000).

5105550005064 is an abundant number, since it is smaller than the sum of its proper divisors (9989209674936).

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

5105550005064 is a wasteful number, since it uses less digits than its factorization.

5105550005064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9599 (or 9583 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 5105550005064 in words is "five trillion, one hundred five billion, five hundred fifty million, five thousand, sixty-four".