2108064358400 has 1512 divisors, whose sum is σ = 7247148623784. Its totient is φ = 601148620800.

The previous prime is 2108064358397. The next prime is 2108064358427. The reversal of 2108064358400 is 48534608012.

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 18655436744 + ... + 18655436856.

Almost surely, 2^{2108064358400} is an apocalyptic number.

2108064358400 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 2108064358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623574311892).

2108064358400 is an abundant number, since it is smaller than the sum of its proper divisors (5139084265384).

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

2108064358400 is a wasteful number, since it uses less digits than its factorization.

2108064358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 2108064358400 in words is "two trillion, one hundred eight billion, sixty-four million, three hundred fifty-eight thousand, four hundred".