252585038680 has 128 divisors (see below), whose sum is σ = 635863737600. Its totient is φ = 89658519552.

The previous prime is 252585038647. The next prime is 252585038689. The reversal of 252585038680 is 86830585252.

It is a happy number.

It is a super-2 number, since 2×252585038680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252585038689) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3477697 + ... + 3549583.

It is an arithmetic number, because the mean of its divisors is an integer number (4967685450).

Almost surely, 2^252585038680 is an apocalyptic number.

252585038680 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 252585038680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317931868800).

252585038680 is an abundant number, since it is smaller than the sum of its proper divisors (383278698920).

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

252585038680 is a wasteful number, since it uses less digits than its factorization.

252585038680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72173 (or 72169 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 52.

The spelling of 252585038680 in words is "two hundred fifty-two billion, five hundred eighty-five million, thirty-eight thousand, six hundred eighty".