252668052000 has 1536 divisors, whose sum is σ = 1158150389760. Its totient is φ = 52080537600.

The previous prime is 252668051969. The next prime is 252668052011. The reversal of 252668052000 is 250866252.

252668052000 is a `hidden beast` number, since 2 + 52 + 6 + 6 + 80 + 520 + 0 + 0 = 666.

It is a super-2 number, since 2×252668052000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 461915727 + ... + 461916273.

It is an arithmetic number, because the mean of its divisors is an integer number (754004160).

Almost surely, 2^252668052000 is an apocalyptic number.

252668052000 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 252668052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579075194880).

252668052000 is an abundant number, since it is smaller than the sum of its proper divisors (905482337760).

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

252668052000 is a wasteful number, since it uses less digits than its factorization.

252668052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 252668052000 in words is "two hundred fifty-two billion, six hundred sixty-eight million, fifty-two thousand".