5311135872 has 384 divisors, whose sum is σ = 18511776000. Its totient is φ = 1494484992.

The previous prime is 5311135871. The next prime is 5311135891. The reversal of 5311135872 is 2785311135.

It is a happy number.

5311135872 is a `hidden beast` number, since 53 + 11 + 13 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 (5311135871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13377978 + ... + 13378374.

It is an arithmetic number, because the mean of its divisors is an integer number (48207750).

Almost surely, 2^5311135872 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 5311135872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9255888000).

5311135872 is an abundant number, since it is smaller than the sum of its proper divisors (13200640128).

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

5311135872 is a wasteful number, since it uses less digits than its factorization.

5311135872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 488 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 5311135872 is about 72877.5402438913. The cubic root of 5311135872 is about 1744.7336503134.

The spelling of 5311135872 in words is "five billion, three hundred eleven million, one hundred thirty-five thousand, eight hundred seventy-two".