52785054540288 has 480 divisors, whose sum is σ = 180131427041280. Its totient is φ = 14561578967040.

The previous prime is 52785054540277. The next prime is 52785054540307. The reversal of 52785054540288 is 88204545058725.

52785054540288 is a `hidden beast` number, since 5 + 2 + 7 + 8 + 5 + 0 + 5 + 4 + 540 + 2 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438911781 + ... + 439032027.

It is an arithmetic number, because the mean of its divisors is an integer number (375273806336).

Almost surely, 2^{52785054540288} 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 52785054540288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90065713520640).

52785054540288 is an abundant number, since it is smaller than the sum of its proper divisors (127346372500992).

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

52785054540288 is a wasteful number, since it uses less digits than its factorization.

52785054540288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120748 (or 120729 counting only the distinct ones).

The product of its (nonzero) digits is 143360000, while the sum is 63.

The spelling of 52785054540288 in words is "fifty-two trillion, seven hundred eighty-five billion, fifty-four million, five hundred forty thousand, two hundred eighty-eight".