5115854016 has 504 divisors, whose sum is σ = 18719011584. Its totient is φ = 1323786240.

The previous prime is 5115853997. The next prime is 5115854017. The reversal of 5115854016 is 6104585115.

5115854016 is a `hidden beast` number, since 51 + 1 + 58 + 540 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (5115854017) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26784481 + ... + 26784671.

It is an arithmetic number, because the mean of its divisors is an integer number (37140896).

Almost surely, 2^5115854016 is an apocalyptic number.

5115854016 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 5115854016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9359505792).

5115854016 is an abundant number, since it is smaller than the sum of its proper divisors (13603157568).

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

5115854016 is a wasteful number, since it uses less digits than its factorization.

5115854016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 36.

The square root of 5115854016 is about 71525.1984687914. The cubic root of 5115854016 is about 1723.0824049505.

The spelling of 5115854016 in words is "five billion, one hundred fifteen million, eight hundred fifty-four thousand, sixteen".