252212489461800 has 960 divisors, whose sum is σ = 1013196173616000. Its totient is φ = 56953673441280.

The previous prime is 252212489461789. The next prime is 252212489461811. The reversal of 252212489461800 is 8164984212252.

It is a happy number.

252212489461800 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 1 + 24 + 89 + 461 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252212489461789) and next prime (252212489461811).

It is a super-2 number, since 2×252212489461800² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13009351707 + ... + 13009371093.

It is an arithmetic number, because the mean of its divisors is an integer number (1055412680850).

Almost surely, 2^{252212489461800} is an apocalyptic number.

252212489461800 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 252212489461800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506598086808000).

252212489461800 is an abundant number, since it is smaller than the sum of its proper divisors (760983684154200).

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

252212489461800 is a wasteful number, since it uses less digits than its factorization.

252212489461800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20800 (or 20782 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 252212489461800 in words is "two hundred fifty-two trillion, two hundred twelve billion, four hundred eighty-nine million, four hundred sixty-one thousand, eight hundred".