5109835680 has 144 divisors (see below), whose sum is σ = 18355165920. Its totient is φ = 1290898944.

The previous prime is 5109835663. The next prime is 5109835681. The reversal of 5109835680 is 865389015.

5109835680 is a `hidden beast` number, since 5 + 1 + 0 + 9 + 83 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5109835680² = 52220841353202124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5109835681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66022 + ... + 120741.

It is an arithmetic number, because the mean of its divisors is an integer number (127466430).

Almost surely, 2^5109835680 is an apocalyptic number.

It is an amenable number.

5109835680 is an abundant number, since it is smaller than the sum of its proper divisors (13245330240).

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

5109835680 is a wasteful number, since it uses less digits than its factorization.

5109835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186803 (or 186792 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5109835680 is about 71483.1146495450. The cubic root of 5109835680 is about 1722.4064566804.

The spelling of 5109835680 in words is "five billion, one hundred nine million, eight hundred thirty-five thousand, six hundred eighty".