1059805084800 has 1152 divisors, whose sum is σ = 4573387284480. Its totient is φ = 213083136000.

The previous prime is 1059805084783. The next prime is 1059805084823. The reversal of 1059805084800 is 84805089501.

It is a super-2 number, since 2×1059805084800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1059805084800.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 160403097 + ... + 160409703.

It is an arithmetic number, because the mean of its divisors is an integer number (3969954240).

Almost surely, 2^{1059805084800} is an apocalyptic number.

1059805084800 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 1059805084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286693642240).

1059805084800 is an abundant number, since it is smaller than the sum of its proper divisors (3513582199680).

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

1059805084800 is a wasteful number, since it uses less digits than its factorization.

1059805084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6690 (or 6666 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 48.

The spelling of 1059805084800 in words is "one trillion, fifty-nine billion, eight hundred five million, eighty-four thousand, eight hundred".