252606601200 has 240 divisors, whose sum is σ = 821445209856. Its totient is φ = 66343680000.

The previous prime is 252606601189. The next prime is 252606601237. The reversal of 252606601200 is 2106606252.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77699575 + ... + 77702825.

Almost surely, 2^252606601200 is an apocalyptic number.

252606601200 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 252606601200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410722604928).

252606601200 is an abundant number, since it is smaller than the sum of its proper divisors (568838608656).

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

252606601200 is a wasteful number, since it uses less digits than its factorization.

252606601200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4221 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 252606601200 in words is "two hundred fifty-two billion, six hundred six million, six hundred one thousand, two hundred".