5138398720 has 480 divisors, whose sum is σ = 16222586688. Its totient is φ = 1544159232.

The previous prime is 5138398711. The next prime is 5138398739. The reversal of 5138398720 is 278938315.

It is a Harshad number since it is a multiple of its sum of digits (46).

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 47 ways as a sum of consecutive naturals, for example, 37506492 + ... + 37506628.

Almost surely, 2^5138398720 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 5138398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8111293344).

5138398720 is an abundant number, since it is smaller than the sum of its proper divisors (11084187968).

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

5138398720 is a wasteful number, since it uses less digits than its factorization.

5138398720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 5138398720 is about 71682.6249519366. The cubic root of 5138398720 is about 1725.6098069453.

The spelling of 5138398720 in words is "five billion, one hundred thirty-eight million, three hundred ninety-eight thousand, seven hundred twenty".