2005120510848 has 1152 divisors, whose sum is σ = 7938268621920. Its totient is φ = 497632149504.

The previous prime is 2005120510847. The next prime is 2005120510879. The reversal of 2005120510848 is 8480150215002.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005120510847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 336822240 + ... + 336828192.

Almost surely, 2^{2005120510848} is an apocalyptic number.

2005120510848 is a gapful number since it is divisible by the number (28) 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 2005120510848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3969134310960).

2005120510848 is an abundant number, since it is smaller than the sum of its proper divisors (5933148111072).

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

2005120510848 is a wasteful number, since it uses less digits than its factorization.

2005120510848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6026 (or 5995 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 2005120510848 in words is "two trillion, five billion, one hundred twenty million, five hundred ten thousand, eight hundred forty-eight".