21160003189600 has 576 divisors, whose sum is σ = 62522935776000. Its totient is φ = 6905325772800.

The previous prime is 21160003189597. The next prime is 21160003189667. The reversal of 21160003189600 is 698130006112.

It is a self number, because there is not a number n which added to its sum of digits gives 21160003189600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 256945231 + ... + 257027569.

It is an arithmetic number, because the mean of its divisors is an integer number (108546763500).

Almost surely, 2^{21160003189600} is an apocalyptic number.

21160003189600 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 21160003189600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31261467888000).

21160003189600 is an abundant number, since it is smaller than the sum of its proper divisors (41362932586400).

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

21160003189600 is a wasteful number, since it uses less digits than its factorization.

21160003189600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82471 (or 82458 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The spelling of 21160003189600 in words is "twenty-one trillion, one hundred sixty billion, three million, one hundred eighty-nine thousand, six hundred".