5310794016 has 288 divisors, whose sum is σ = 18013072896. Its totient is φ = 1465344000.

The previous prime is 5310794003. The next prime is 5310794051. The reversal of 5310794016 is 6104970135.

5310794016 is a `hidden beast` number, since 531 + 0 + 79 + 40 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1667946 + ... + 1671126.

It is an arithmetic number, because the mean of its divisors is an integer number (62545392).

Almost surely, 2^5310794016 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 5310794016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9006536448).

5310794016 is an abundant number, since it is smaller than the sum of its proper divisors (12702278880).

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

5310794016 is a wasteful number, since it uses less digits than its factorization.

5310794016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 5310794016 is about 72875.1947921925. The cubic root of 5310794016 is about 1744.6962157308.

It can be divided in two parts, 531079 and 4016, that added together give a triangular number (535095 = T₁₀₃₄).

The spelling of 5310794016 in words is "five billion, three hundred ten million, seven hundred ninety-four thousand, sixteen".