5136017040 has 240 divisors, whose sum is σ = 21504802176. Its totient is φ = 1067212800.

The previous prime is 5136017023. The next prime is 5136017063. The reversal of 5136017040 is 407106315.

5136017040 is a `hidden beast` number, since 5 + 13 + 601 + 7 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 5136016995 and 5136017013.

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, 9120 + ... + 101760.

Almost surely, 2^5136017040 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 5136017040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10752401088).

5136017040 is an abundant number, since it is smaller than the sum of its proper divisors (16368785136).

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

5136017040 is a wasteful number, since it uses less digits than its factorization.

5136017040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92678 (or 92669 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 5136017040 is about 71666.0103535839. The cubic root of 5136017040 is about 1725.3431554238.

The spelling of 5136017040 in words is "five billion, one hundred thirty-six million, seventeen thousand, forty".