5124133872 has 400 divisors, whose sum is σ = 17856440448. Its totient is φ = 1397813760.

The previous prime is 5124133849. The next prime is 5124133873. The reversal of 5124133872 is 2783314215.

5124133872 is a `hidden beast` number, since 512 + 4 + 133 + 8 + 7 + 2 = 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 (5124133873) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7968783 + ... + 7969425.

Almost surely, 2^5124133872 is an apocalyptic number.

5124133872 is a gapful number since it is divisible by the number (52) 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 5124133872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928220224).

5124133872 is an abundant number, since it is smaller than the sum of its proper divisors (12732306576).

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

5124133872 is a wasteful number, since it uses less digits than its factorization.

5124133872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 715 counting only the distinct ones).

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

The square root of 5124133872 is about 71583.0557604242. The cubic root of 5124133872 is about 1724.0114895974.

The spelling of 5124133872 in words is "five billion, one hundred twenty-four million, one hundred thirty-three thousand, eight hundred seventy-two".