2152889798400 has 1944 divisors, whose sum is σ = 8979337785600. Its totient is φ = 506572185600.

The previous prime is 2152889798351. The next prime is 2152889798419. The reversal of 2152889798400 is 48979882512.

2152889798400 is a `hidden beast` number, since 2 + 1 + 52 + 8 + 8 + 97 + 98 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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 215 ways as a sum of consecutive naturals, for example, 27251769561 + ... + 27251769639.

Almost surely, 2^{2152889798400} is an apocalyptic number.

2152889798400 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 2152889798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4489668892800).

2152889798400 is an abundant number, since it is smaller than the sum of its proper divisors (6826447987200).

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

2152889798400 is an frugal number, since it uses more digits than its factorization.

2152889798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 2152889798400 in words is "two trillion, one hundred fifty-two billion, eight hundred eighty-nine million, seven hundred ninety-eight thousand, four hundred".