52817740416 has 384 divisors, whose sum is σ = 181034006400. Its totient is φ = 14849630208.

The previous prime is 52817740403. The next prime is 52817740429. The reversal of 52817740416 is 61404771825.

52817740416 is a `hidden beast` number, since 5 + 28 + 177 + 40 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (52817740403) and next prime (52817740429).

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

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 47 ways as a sum of consecutive naturals, for example, 379983675 + ... + 379983813.

It is an arithmetic number, because the mean of its divisors is an integer number (471442725).

Almost surely, 2^52817740416 is an apocalyptic number.

52817740416 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 52817740416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90517003200).

52817740416 is an abundant number, since it is smaller than the sum of its proper divisors (128216265984).

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

52817740416 is a wasteful number, since it uses less digits than its factorization.

52817740416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

It can be divided in two parts, 528 and 17740416, that added together give a square (17740944 = 4212²).

The spelling of 52817740416 in words is "fifty-two billion, eight hundred seventeen million, seven hundred forty thousand, four hundred sixteen".