5224138920 has 1152 divisors, whose sum is σ = 24648624000. Its totient is φ = 940584960.

The previous prime is 5224138903. The next prime is 5224138951. The reversal of 5224138920 is 298314225.

It is a happy number.

5224138920 is a `hidden beast` number, since 522 + 41 + 3 + 8 + 92 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 47927826 + ... + 47927934.

It is an arithmetic number, because the mean of its divisors is an integer number (21396375).

Almost surely, 2^5224138920 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 5224138920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324312000).

5224138920 is an abundant number, since it is smaller than the sum of its proper divisors (19424485080).

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

5224138920 is a wasteful number, since it uses less digits than its factorization.

5224138920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5224138920 is about 72278.2050136831. The cubic root of 5224138920 is about 1735.1548522325.

The spelling of 5224138920 in words is "five billion, two hundred twenty-four million, one hundred thirty-eight thousand, nine hundred twenty".