5135921280 has 576 divisors, whose sum is σ = 21332263680. Its totient is φ = 1134120960.

The previous prime is 5135921279. The next prime is 5135921281. The reversal of 5135921280 is 821295315.

5135921280 is a `hidden beast` number, since 5 + 1 + 359 + 21 + 280 = 666.

It is an interprime number because it is at equal distance from previous prime (5135921279) and next prime (5135921281).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5135921281) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8749147 + ... + 8749733.

It is an arithmetic number, because the mean of its divisors is an integer number (37035180).

Almost surely, 2^5135921280 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 5135921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10666131840).

5135921280 is an abundant number, since it is smaller than the sum of its proper divisors (16196342400).

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

5135921280 is a wasteful number, since it uses less digits than its factorization.

5135921280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5135921280 is about 71665.3422513282. The cubic root of 5135921280 is about 1725.3324324657.

The spelling of 5135921280 in words is "five billion, one hundred thirty-five million, nine hundred twenty-one thousand, two hundred eighty".