16615569488400 has 405 divisors, whose sum is σ = 59136989242773. Its totient is φ = 4320141004800.

The previous prime is 16615569488387. The next prime is 16615569488429. The reversal of 16615569488400 is 488496551661.

The square root of 16615569488400 is 4076220.

It is a perfect power (a square), and thus also a powerful number.

16615569488400 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 55 + 69 + 488 + 40 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 16428073560336 + 187495928064 = 4053156^2 + 433008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 10027500372 + ... + 10027502028.

Almost surely, 2^{16615569488400} is an apocalyptic number.

16615569488400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16615569488400 is the 4076220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16615569488400

16615569488400 is an abundant number, since it is smaller than the sum of its proper divisors (42521419754373).

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

16615569488400 is an equidigital number, since it uses as much as digits as its factorization.

16615569488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 16615569488400 in words is "sixteen trillion, six hundred fifteen billion, five hundred sixty-nine million, four hundred eighty-eight thousand, four hundred".