1059927988800 has 504 divisors, whose sum is σ = 3729894146496. Its totient is φ = 263013949440.

The previous prime is 1059927988789. The next prime is 1059927988841. The reversal of 1059927988800 is 88897299501.

It is a super-2 number, since 2×1059927988800² (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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 151134094 + ... + 151141106.

It is an arithmetic number, because the mean of its divisors is an integer number (7400583624).

Almost surely, 2^{1059927988800} is an apocalyptic number.

1059927988800 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 1059927988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864947073248).

1059927988800 is an abundant number, since it is smaller than the sum of its proper divisors (2669966157696).

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

1059927988800 is a wasteful number, since it uses less digits than its factorization.

1059927988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7135 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 66.

The spelling of 1059927988800 in words is "one trillion, fifty-nine billion, nine hundred twenty-seven million, nine hundred eighty-eight thousand, eight hundred".