1050968179800 has 1440 divisors, whose sum is σ = 4758779369520. Its totient is φ = 212415436800.

The previous prime is 1050968179787. The next prime is 1050968179817. The reversal of 1050968179800 is 89718690501.

1050968179800 is a `hidden beast` number, since 1 + 0 + 509 + 68 + 1 + 79 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×1050968179800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 323074974 + ... + 323078226.

Almost surely, 2^{1050968179800} is an apocalyptic number.

1050968179800 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 1050968179800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2379389684760).

1050968179800 is an abundant number, since it is smaller than the sum of its proper divisors (3707811189720).

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

1050968179800 is a wasteful number, since it uses less digits than its factorization.

1050968179800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3343 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 1050968179800 in words is "one trillion, fifty billion, nine hundred sixty-eight million, one hundred seventy-nine thousand, eight hundred".