252260667360 has 384 divisors, whose sum is σ = 952092610560. Its totient is φ = 62012418048.

The previous prime is 252260667359. The next prime is 252260667361. The reversal of 252260667360 is 63766062252.

It is a happy number.

252260667360 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 606 + 6 + 7 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (252260667359) and next prime (252260667361).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252260667361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 49586737 + ... + 49591823.

It is an arithmetic number, because the mean of its divisors is an integer number (2479407840).

Almost surely, 2^252260667360 is an apocalyptic number.

252260667360 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 252260667360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476046305280).

252260667360 is an abundant number, since it is smaller than the sum of its proper divisors (699831943200).

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

252260667360 is a wasteful number, since it uses less digits than its factorization.

252260667360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 5993 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 252260667360 in words is "two hundred fifty-two billion, two hundred sixty million, six hundred sixty-seven thousand, three hundred sixty".