5016137280 has 672 divisors, whose sum is σ = 20755660800. Its totient is φ = 1003622400.

The previous prime is 5016137261. The next prime is 5016137281. The reversal of 5016137280 is 827316105.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5016137281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25206621 + ... + 25206819.

It is an arithmetic number, because the mean of its divisors is an integer number (30886400).

Almost surely, 2^5016137280 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 5016137280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10377830400).

5016137280 is an abundant number, since it is smaller than the sum of its proper divisors (15739523520).

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

5016137280 is a wasteful number, since it uses less digits than its factorization.

5016137280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5016137280 is about 70824.6939986330. The cubic root of 5016137280 is about 1711.8135951588.

The spelling of 5016137280 in words is "five billion, sixteen million, one hundred thirty-seven thousand, two hundred eighty".