250881442560 has 1728 divisors, whose sum is σ = 1100581171200. Its totient is φ = 54553927680.

The previous prime is 250881442543. The next prime is 250881442571. The reversal of 250881442560 is 65244188052.

250881442560 is a `hidden beast` number, since 2 + 5 + 0 + 8 + 81 + 4 + 4 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

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, 4252227811 + ... + 4252227869.

It is an arithmetic number, because the mean of its divisors is an integer number (636910400).

Almost surely, 2^250881442560 is an apocalyptic number.

250881442560 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 250881442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550290585600).

250881442560 is an abundant number, since it is smaller than the sum of its proper divisors (849699728640).

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

250881442560 is an frugal number, since it uses more digits than its factorization.

250881442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 250881442560 in words is "two hundred fifty billion, eight hundred eighty-one million, four hundred forty-two thousand, five hundred sixty".