5295753216 has 384 divisors, whose sum is σ = 17336592000. Its totient is φ = 1587216384.

The previous prime is 5295753209. The next prime is 5295753223. The reversal of 5295753216 is 6123575925.

5295753216 is a `hidden beast` number, since 52 + 9 + 57 + 532 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (5295753209) and next prime (5295753223).

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (567000) is a multiple of the sum of its prime divisors (210).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38098875 + ... + 38099013.

It is an arithmetic number, because the mean of its divisors is an integer number (45147375).

Almost surely, 2^5295753216 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 5295753216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668296000).

5295753216 is an abundant number, since it is smaller than the sum of its proper divisors (12040838784).

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

5295753216 is a wasteful number, since it uses less digits than its factorization.

5295753216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 210 counting only the distinct ones).

The product of its digits is 567000, while the sum is 45.

The square root of 5295753216 is about 72771.9260154629. The cubic root of 5295753216 is about 1743.0475960234.

The spelling of 5295753216 in words is "five billion, two hundred ninety-five million, seven hundred fifty-three thousand, two hundred sixteen".