252967373568000 has 6144 divisors, whose sum is σ = 1208872304640000. Its totient is φ = 50766505574400.

The previous prime is 252967373567999. The next prime is 252967373568059. The reversal of 252967373568000 is 865373769252.

It is a happy number.

252967373568000 is a `hidden beast` number, since 2 + 5 + 2 + 9 + 67 + 3 + 7 + 3 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1271192831901 + ... + 1271192832099.

It is an arithmetic number, because the mean of its divisors is an integer number (196756560000).

Almost surely, 2^{252967373568000} is an apocalyptic number.

252967373568000 is a gapful number since it is divisible by the number (20) 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 252967373568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604436152320000).

252967373568000 is an abundant number, since it is smaller than the sum of its proper divisors (955904931072000).

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

252967373568000 is a wasteful number, since it uses less digits than its factorization.

252967373568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 63.

The spelling of 252967373568000 in words is "two hundred fifty-two trillion, nine hundred sixty-seven billion, three hundred seventy-three million, five hundred sixty-eight thousand".