1050566895072 has 144 divisors (see below), whose sum is σ = 3038800302720. Its totient is φ = 344211436800.

The previous prime is 1050566894947. The next prime is 1050566895149. The reversal of 1050566895072 is 2705986650501.

1050566895072 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 56 + 6 + 89 + 507 + 2 = 666.

1050566895072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1050566895072² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6690679 + ... + 6845897.

It is an arithmetic number, because the mean of its divisors is an integer number (21102779880).

Almost surely, 2^{1050566895072} is an apocalyptic number.

1050566895072 is a gapful number since it is divisible by the number (12) 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 1050566895072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519400151360).

1050566895072 is an abundant number, since it is smaller than the sum of its proper divisors (1988233407648).

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

1050566895072 is a wasteful number, since it uses less digits than its factorization.

1050566895072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155637 (or 155626 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 1050566895072 in words is "one trillion, fifty billion, five hundred sixty-six million, eight hundred ninety-five thousand, seventy-two".