252780353280 has 2160 divisors, whose sum is σ = 1187873625120. Its totient is φ = 49161240576.

The previous prime is 252780353263. The next prime is 252780353339. The reversal of 252780353280 is 82353087252.

252780353280 is a `hidden beast` number, since 2 + 5 + 278 + 0 + 353 + 28 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6831901422 + ... + 6831901458.

Almost surely, 2^252780353280 is an apocalyptic number.

252780353280 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 252780353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593936812560).

252780353280 is an abundant number, since it is smaller than the sum of its proper divisors (935093271840).

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

252780353280 is a wasteful number, since it uses less digits than its factorization.

252780353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 252780353280 in words is "two hundred fifty-two billion, seven hundred eighty million, three hundred fifty-three thousand, two hundred eighty".