52824981819456 has 1120 divisors, whose sum is σ = 205686522961920. Its totient is φ = 12987089510400.

The previous prime is 52824981819443. The next prime is 52824981819457. The reversal of 52824981819456 is 65491818942825.

52824981819456 is a `hidden beast` number, since 5 + 2 + 8 + 2 + 4 + 98 + 1 + 81 + 9 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (52824981819457) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11232186001 + ... + 11232190703.

It is an arithmetic number, because the mean of its divisors is an integer number (183648681216).

Almost surely, 2^{52824981819456} is an apocalyptic number.

52824981819456 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 52824981819456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102843261480960).

52824981819456 is an abundant number, since it is smaller than the sum of its proper divisors (152861541142464).

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

52824981819456 is a wasteful number, since it uses less digits than its factorization.

52824981819456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6245 (or 6226 counting only the distinct ones).

The product of its digits is 398131200, while the sum is 72.

The spelling of 52824981819456 in words is "fifty-two trillion, eight hundred twenty-four billion, nine hundred eighty-one million, eight hundred nineteen thousand, four hundred fifty-six".