5123006784 has 224 divisors, whose sum is σ = 18118937600. Its totient is φ = 1386616320.

The previous prime is 5123006771. The next prime is 5123006807. The reversal of 5123006784 is 4876003215.

5123006784 is a `hidden beast` number, since 512 + 3 + 0 + 0 + 67 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218679 + ... + 240969.

Almost surely, 2^5123006784 is an apocalyptic number.

5123006784 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 5123006784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9059468800).

5123006784 is an abundant number, since it is smaller than the sum of its proper divisors (12995930816).

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

5123006784 is a wasteful number, since it uses less digits than its factorization.

5123006784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22338 (or 22322 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5123006784 is about 71575.1827381530. The cubic root of 5123006784 is about 1723.8850776551.

Adding to 5123006784 its reverse (4876003215), we get a palindrome (9999009999).

The spelling of 5123006784 in words is "five billion, one hundred twenty-three million, six thousand, seven hundred eighty-four".