1050241906560 has 1536 divisors, whose sum is σ = 4536632033280. Its totient is φ = 200640430080.

The previous prime is 1050241906481. The next prime is 1050241906583. The reversal of 1050241906560 is 656091420501.

1050241906560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1050241906560² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 2008110459 + ... + 2008110981.

It is an arithmetic number, because the mean of its divisors is an integer number (2953536480).

Almost surely, 2^{1050241906560} is an apocalyptic number.

1050241906560 is a gapful number since it is divisible by the number (10) 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 1050241906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268316016640).

1050241906560 is an abundant number, since it is smaller than the sum of its proper divisors (3486390126720).

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

1050241906560 is a wasteful number, since it uses less digits than its factorization.

1050241906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 1050241906560 in words is "one trillion, fifty billion, two hundred forty-one million, nine hundred six thousand, five hundred sixty".