5100118016 has 224 divisors, whose sum is σ = 12749905920. Its totient is φ = 1990656000.

The previous prime is 5100118013. The next prime is 5100118057. The reversal of 5100118016 is 6108110015.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×5100118016² = 52022407554255552512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5100117982 and 5100118000.

It is not an unprimeable number, because it can be changed into a prime (5100118013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33775541 + ... + 33775691.

Almost surely, 2^5100118016 is an apocalyptic number.

5100118016 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5100118016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6374952960).

5100118016 is an abundant number, since it is smaller than the sum of its proper divisors (7649787904).

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

5100118016 is a wasteful number, since it uses less digits than its factorization.

5100118016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 23.

The square root of 5100118016 is about 71415.1105579204. The cubic root of 5100118016 is about 1721.3138978144.

The spelling of 5100118016 in words is "five billion, one hundred million, one hundred eighteen thousand, sixteen".