5136823440 has 320 divisors, whose sum is σ = 20343697920. Its totient is φ = 1167022080.

The previous prime is 5136823429. The next prime is 5136823463. The reversal of 5136823440 is 443286315.

5136823440 is a `hidden beast` number, since 5 + 136 + 82 + 3 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5136823395 and 5136823404.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2735782 + ... + 2737658.

It is an arithmetic number, because the mean of its divisors is an integer number (63574056).

Almost surely, 2^5136823440 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 5136823440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171848960).

5136823440 is an abundant number, since it is smaller than the sum of its proper divisors (15206874480).

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

5136823440 is a wasteful number, since it uses less digits than its factorization.

5136823440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5136823440 is about 71671.6362307991. The cubic root of 5136823440 is about 1725.4334487322.

The spelling of 5136823440 in words is "five billion, one hundred thirty-six million, eight hundred twenty-three thousand, four hundred forty".