5106723840 has 704 divisors, whose sum is σ = 20056014720. Its totient is φ = 1226833920.

The previous prime is 5106723827. The next prime is 5106723851. The reversal of 5106723840 is 483276015.

5106723840 is a `hidden beast` number, since 510 + 6 + 72 + 38 + 40 = 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 = 5106723795 and 5106723804.

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, 96353254 + ... + 96353306.

Almost surely, 2^5106723840 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 5106723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10028007360).

5106723840 is an abundant number, since it is smaller than the sum of its proper divisors (14949290880).

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

5106723840 is a wasteful number, since it uses less digits than its factorization.

5106723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5106723840 is about 71461.3450755022. The cubic root of 5106723840 is about 1722.0567427793.

Adding to 5106723840 its reverse (483276015), we get a palindrome (5589999855).

The spelling of 5106723840 in words is "five billion, one hundred six million, seven hundred twenty-three thousand, eight hundred forty".