2005385237856 has 1536 divisors, whose sum is σ = 8128512000000. Its totient is φ = 473932892160.

The previous prime is 2005385237833. The next prime is 2005385237879. The reversal of 2005385237856 is 6587325835002.

2005385237856 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 38 + 523 + 7 + 85 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2005385237833) and next prime (2005385237879).

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 255 ways as a sum of consecutive naturals, for example, 3347888245 + ... + 3347888843.

It is an arithmetic number, because the mean of its divisors is an integer number (5292000000).

Almost surely, 2^{2005385237856} is an apocalyptic number.

2005385237856 is a gapful number since it is divisible by the number (26) 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 2005385237856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256000000).

2005385237856 is an abundant number, since it is smaller than the sum of its proper divisors (6123126762144).

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

2005385237856 is a wasteful number, since it uses less digits than its factorization.

2005385237856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 2005385237856 in words is "two trillion, five billion, three hundred eighty-five million, two hundred thirty-seven thousand, eight hundred fifty-six".