5137829760 has 512 divisors, whose sum is σ = 20093184000. Its totient is φ = 1089994752.

The previous prime is 5137829707. The next prime is 5137829773. The reversal of 5137829760 is 679287315.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25818141 + ... + 25818339.

It is an arithmetic number, because the mean of its divisors is an integer number (39244500).

Almost surely, 2^5137829760 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 5137829760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10046592000).

5137829760 is an abundant number, since it is smaller than the sum of its proper divisors (14955354240).

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

5137829760 is a wasteful number, since it uses less digits than its factorization.

5137829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 5137829760 is about 71678.6562374045. The cubic root of 5137829760 is about 1725.5461140032.

The spelling of 5137829760 in words is "five billion, one hundred thirty-seven million, eight hundred twenty-nine thousand, seven hundred sixty".