1056021660200 has 96 divisors (see below), whose sum is σ = 2653527272760. Its totient is φ = 388527820800.

The previous prime is 1056021660193. The next prime is 1056021660217. The reversal of 1056021660200 is 20661206501.

It can be written as a sum of positive squares in 12 ways, for example, as 35958019876 + 1020063640324 = 189626^2 + 1009982^2 .

It is a super-2 number, since 2×1056021660200² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7892 + ... + 1453308.

Almost surely, 2^{1056021660200} is an apocalyptic number.

1056021660200 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 1056021660200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326763636380).

1056021660200 is an abundant number, since it is smaller than the sum of its proper divisors (1597505612560).

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

1056021660200 is a wasteful number, since it uses less digits than its factorization.

1056021660200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445727 (or 1445718 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 1056021660200 its reverse (20661206501), we get a palindrome (1076682866701).

The spelling of 1056021660200 in words is "one trillion, fifty-six billion, twenty-one million, six hundred sixty thousand, two hundred".