2005150419600 has 240 divisors, whose sum is σ = 6646165046784. Its totient is φ = 516225024000.

The previous prime is 2005150419563. The next prime is 2005150419637. The reversal of 2005150419600 is 69140515002.

It is an interprime number because it is at equal distance from previous prime (2005150419563) and next prime (2005150419637).

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 15597184 + ... + 15725216.

Almost surely, 2^{2005150419600} is an apocalyptic number.

2005150419600 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 2005150419600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3323082523392).

2005150419600 is an abundant number, since it is smaller than the sum of its proper divisors (4641014627184).

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

2005150419600 is a wasteful number, since it uses less digits than its factorization.

2005150419600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128506 (or 128495 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 2005150419600 in words is "two trillion, five billion, one hundred fifty million, four hundred nineteen thousand, six hundred".