2128988505600 has 720 divisors, whose sum is σ = 8429126644224. Its totient is φ = 508827648000.

The previous prime is 2128988505599. The next prime is 2128988505629. The reversal of 2128988505600 is 65058898212.

It is a happy number.

2128988505600 is a `hidden beast` number, since 2 + 1 + 28 + 9 + 8 + 8 + 5 + 0 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 89959369 + ... + 89983031.

Almost surely, 2^{2128988505600} is an apocalyptic number.

2128988505600 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 2128988505600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4214563322112).

2128988505600 is an abundant number, since it is smaller than the sum of its proper divisors (6300138138624).

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

2128988505600 is a wasteful number, since it uses less digits than its factorization.

2128988505600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23779 (or 23755 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 2128988505600 in words is "two trillion, one hundred twenty-eight billion, nine hundred eighty-eight million, five hundred five thousand, six hundred".