5123761920 has 756 divisors, whose sum is σ = 20575987320. Its totient is φ = 1218281472.

The previous prime is 5123761913. The next prime is 5123761921. The reversal of 5123761920 is 291673215.

5123761920 is a `hidden beast` number, since 5 + 1 + 2 + 37 + 619 + 2 + 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 not an unprimeable number, because it can be changed into a prime (5123761921) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 269671671 + ... + 269671689.

Almost surely, 2^5123761920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5123761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10287993660).

5123761920 is an abundant number, since it is smaller than the sum of its proper divisors (15452225400).

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

5123761920 is an equidigital number, since it uses as much as digits as its factorization.

5123761920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5123761920 is about 71580.4576682770. The cubic root of 5123761920 is about 1723.9697742524.

The spelling of 5123761920 in words is "five billion, one hundred twenty-three million, seven hundred sixty-one thousand, nine hundred twenty".