1005545643300 has 432 divisors, whose sum is σ = 3563811276480. Its totient is φ = 234907008000.

The previous prime is 1005545643293. The next prime is 1005545643373. The reversal of 1005545643300 is 33465455001.

1005545643300 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 5 + 4 + 5 + 643 + 3 + 0 + 0 = 666.

1005545643300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005545643300² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 161634190 + ... + 161640410.

It is an arithmetic number, because the mean of its divisors is an integer number (8249563140).

Almost surely, 2^{1005545643300} is an apocalyptic number.

1005545643300 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 1005545643300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781905638240).

1005545643300 is an abundant number, since it is smaller than the sum of its proper divisors (2558265633180).

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

1005545643300 is a wasteful number, since it uses less digits than its factorization.

1005545643300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6844 (or 6834 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 1005545643300 in words is "one trillion, five billion, five hundred forty-five million, six hundred forty-three thousand, three hundred".