252493533705600 has 1152 divisors, whose sum is σ = 1017913573647360. Its totient is φ = 59064176640000.

The previous prime is 252493533705577. The next prime is 252493533705619. The reversal of 252493533705600 is 6507335394252.

252493533705600 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 9 + 3 + 5 + 3 + 3 + 70 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1057042180 + ... + 1057281020.

It is an arithmetic number, because the mean of its divisors is an integer number (883605532680).

Almost surely, 2^{252493533705600} is an apocalyptic number.

252493533705600 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 252493533705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508956786823680).

252493533705600 is an abundant number, since it is smaller than the sum of its proper divisors (765420039941760).

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

252493533705600 is a wasteful number, since it uses less digits than its factorization.

252493533705600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239000 (or 238980 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 54.

The spelling of 252493533705600 in words is "two hundred fifty-two trillion, four hundred ninety-three billion, five hundred thirty-three million, seven hundred five thousand, six hundred".