2005538826600 has 288 divisors, whose sum is σ = 6991938320640. Its totient is φ = 534257856000.

The previous prime is 2005538826583. The next prime is 2005538826623. The reversal of 2005538826600 is 66288355002.

2005538826600 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 5 + 38 + 8 + 2 + 6 + 600 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48141780 + ... + 48183420.

Almost surely, 2^{2005538826600} is an apocalyptic number.

2005538826600 is a gapful number since it is divisible by the number (20) 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 2005538826600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3495969160320).

2005538826600 is an abundant number, since it is smaller than the sum of its proper divisors (4986399494040).

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

2005538826600 is a wasteful number, since it uses less digits than its factorization.

2005538826600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42663 (or 42642 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2005538826600 in words is "two trillion, five billion, five hundred thirty-eight million, eight hundred twenty-six thousand, six hundred".