252441663482880 has 2112 divisors, whose sum is σ = 964556356608000. Its totient is φ = 60796736372736.

The previous prime is 252441663482861. The next prime is 252441663482891. The reversal of 252441663482880 is 88284366144252.

252441663482880 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 4 + 1 + 6 + 6 + 348 + 288 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 666072990531 + ... + 666072990909.

Almost surely, 2^{252441663482880} is an apocalyptic number.

252441663482880 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 252441663482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482278178304000).

252441663482880 is an abundant number, since it is smaller than the sum of its proper divisors (712114693125120).

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

252441663482880 is a wasteful number, since it uses less digits than its factorization.

252441663482880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 141557760, while the sum is 63.

The spelling of 252441663482880 in words is "two hundred fifty-two trillion, four hundred forty-one billion, six hundred sixty-three million, four hundred eighty-two thousand, eight hundred eighty".