1050962828000 has 384 divisors, whose sum is σ = 2782731055104. Its totient is φ = 389114880000.

The previous prime is 1050962827997. The next prime is 1050962828011. The reversal of 1050962828000 is 8282690501.

It is a super-2 number, since 2×1050962828000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 447026825 + ... + 447029175.

It is an arithmetic number, because the mean of its divisors is an integer number (7246695456).

Almost surely, 2^{1050962828000} is an apocalyptic number.

1050962828000 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 1050962828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1391365527552).

1050962828000 is an abundant number, since it is smaller than the sum of its proper divisors (1731768227104).

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

1050962828000 is a wasteful number, since it uses less digits than its factorization.

1050962828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2555 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The spelling of 1050962828000 in words is "one trillion, fifty billion, nine hundred sixty-two million, eight hundred twenty-eight thousand".