252758128320 has 280 divisors, whose sum is σ = 938198869344. Its totient is φ = 64471486464.

The previous prime is 252758128319. The next prime is 252758128321. The reversal of 252758128320 is 23821857252.

252758128320 is a `hidden beast` number, since 2 + 5 + 27 + 581 + 28 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (252758128319) and next prime (252758128321).

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

It is not an unprimeable number, because it can be changed into a prime (252758128321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 384172 + ... + 808148.

Almost surely, 2^252758128320 is an apocalyptic number.

252758128320 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 252758128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469099434672).

252758128320 is an abundant number, since it is smaller than the sum of its proper divisors (685440741024).

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

252758128320 is a wasteful number, since it uses less digits than its factorization.

252758128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424029 (or 424010 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 252758128320 in words is "two hundred fifty-two billion, seven hundred fifty-eight million, one hundred twenty-eight thousand, three hundred twenty".