252359457033600 has 1536 divisors, whose sum is σ = 1061203828608000. Its totient is φ = 57371502182400.

The previous prime is 252359457033553. The next prime is 252359457033641. The reversal of 252359457033600 is 6330754953252.

252359457033600 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 5 + 9 + 4 + 570 + 3 + 3 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 116779016520 + ... + 116779018680.

It is an arithmetic number, because the mean of its divisors is an integer number (690887909250).

Almost surely, 2^{252359457033600} is an apocalyptic number.

252359457033600 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 252359457033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530601914304000).

252359457033600 is an abundant number, since it is smaller than the sum of its proper divisors (808844371574400).

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

252359457033600 is a wasteful number, since it uses less digits than its factorization.

252359457033600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3153 (or 3130 counting only the distinct ones).

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

The spelling of 252359457033600 in words is "two hundred fifty-two trillion, three hundred fifty-nine billion, four hundred fifty-seven million, thirty-three thousand, six hundred".