1050941101600 has 432 divisors, whose sum is σ = 2953846488600. Its totient is φ = 365037404160.

The previous prime is 1050941101597. The next prime is 1050941101627. The reversal of 1050941101600 is 61011490501.

It can be written as a sum of positive squares in 36 ways, for example, as 1022986599184 + 27954502416 = 1011428^2 + 167196^2 .

It is a super-2 number, since 2×1050941101600² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 507945366 + ... + 507947434.

Almost surely, 2^{1050941101600} is an apocalyptic number.

1050941101600 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 1050941101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476923244300).

1050941101600 is an abundant number, since it is smaller than the sum of its proper divisors (1902905387000).

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

1050941101600 is a wasteful number, since it uses less digits than its factorization.

1050941101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 1050941101600 in words is "one trillion, fifty billion, nine hundred forty-one million, one hundred one thousand, six hundred".