5139690400 has 144 divisors (see below), whose sum is σ = 14100597504. Its totient is φ = 1815137280.

The previous prime is 5139690371. The next prime is 5139690401. The reversal of 5139690400 is 40969315.

It is a self number, because there is not a number n which added to its sum of digits gives 5139690400.

It is not an unprimeable number, because it can be changed into a prime (5139690401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228457 + ... + 249943.

It is an arithmetic number, because the mean of its divisors is an integer number (97920816).

Almost surely, 2^5139690400 is an apocalyptic number.

5139690400 is a gapful number since it is divisible by the number (50) 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 5139690400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050298752).

5139690400 is an abundant number, since it is smaller than the sum of its proper divisors (8960907104).

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

5139690400 is a wasteful number, since it uses less digits than its factorization.

5139690400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21543 (or 21530 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 5139690400 is about 71691.6341005002. The cubic root of 5139690400 is about 1725.7543882344.

The spelling of 5139690400 in words is "five billion, one hundred thirty-nine million, six hundred ninety thousand, four hundred".