5135700960 has 288 divisors, whose sum is σ = 18966231648. Its totient is φ = 1257984000.

The previous prime is 5135700949. The next prime is 5135700979. The reversal of 5135700960 is 690075315.

It is a happy number.

5135700960 is a `hidden beast` number, since 513 + 57 + 0 + 0 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4698174 + ... + 4699266.

It is an arithmetic number, because the mean of its divisors is an integer number (65854971).

Almost surely, 2^5135700960 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 5135700960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9483115824).

5135700960 is an abundant number, since it is smaller than the sum of its proper divisors (13830530688).

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

5135700960 is a wasteful number, since it uses less digits than its factorization.

5135700960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5135700960 is about 71663.8050901569. The cubic root of 5135700960 is about 1725.3077610934.

The spelling of 5135700960 in words is "five billion, one hundred thirty-five million, seven hundred thousand, nine hundred sixty".