252066824989056 has 4608 divisors, whose sum is σ = 1042910668800000. Its totient is φ = 60330059919360.

The previous prime is 252066824989033. The next prime is 252066824989079. The reversal of 252066824989056 is 650989428660252.

252066824989056 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 6 + 6 + 82 + 498 + 9 + 0 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (252066824989033) and next prime (252066824989079).

It is a super-2 number, since 2×252066824989056² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1054672907785 + ... + 1054672908023.

It is an arithmetic number, because the mean of its divisors is an integer number (226326100000).

Almost surely, 2^{252066824989056} 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 252066824989056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521455334400000).

252066824989056 is an abundant number, since it is smaller than the sum of its proper divisors (790843843810944).

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

252066824989056 is a wasteful number, since it uses less digits than its factorization.

252066824989056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 252066824989056 in words is "two hundred fifty-two trillion, sixty-six billion, eight hundred twenty-four million, nine hundred eighty-nine thousand, fifty-six".