252655544240 has 160 divisors (see below), whose sum is σ = 652393958400. Its totient is φ = 90219714560.

The previous prime is 252655544213. The next prime is 252655544243. The reversal of 252655544240 is 42445556252.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 252655544191 and 252655544200.

It is not an unprimeable number, because it can be changed into a prime (252655544243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61938521 + ... + 61942599.

It is an arithmetic number, because the mean of its divisors is an integer number (4077462240).

Almost surely, 2^252655544240 is an apocalyptic number.

252655544240 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 252655544240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326196979200).

252655544240 is an abundant number, since it is smaller than the sum of its proper divisors (399738414160).

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

252655544240 is a wasteful number, since it uses less digits than its factorization.

252655544240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5355 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 44.

The spelling of 252655544240 in words is "two hundred fifty-two billion, six hundred fifty-five million, five hundred forty-four thousand, two hundred forty".