2120152559616 has 1872 divisors, whose sum is σ = 8369543355264. Its totient is φ = 510513905664.

The previous prime is 2120152559543. The next prime is 2120152559627. The reversal of 2120152559616 is 6169552510212.

2120152559616 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 1 + 5 + 25 + 5 + 9 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18762411976 + ... + 18762412088.

It is an arithmetic number, because the mean of its divisors is an integer number (4470909912).

Almost surely, 2^{2120152559616} is an apocalyptic number.

2120152559616 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 2120152559616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184771677632).

2120152559616 is an abundant number, since it is smaller than the sum of its proper divisors (6249390795648).

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

2120152559616 is a wasteful number, since it uses less digits than its factorization.

2120152559616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 2120152559616 in words is "two trillion, one hundred twenty billion, one hundred fifty-two million, five hundred fifty-nine thousand, six hundred sixteen".