16560488687400 has 576 divisors, whose sum is σ = 64308381321600. Its totient is φ = 3740774400000.

The previous prime is 16560488687381. The next prime is 16560488687507. The reversal of 16560488687400 is 478688406561.

16560488687400 is a `hidden beast` number, since 1 + 6 + 56 + 0 + 488 + 68 + 7 + 40 + 0 = 666.

16560488687400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4139085400 + ... + 4139089400.

It is an arithmetic number, because the mean of its divisors is an integer number (111646495350).

Almost surely, 2^{16560488687400} is an apocalyptic number.

16560488687400 is a gapful number since it is divisible by the number (10) 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 16560488687400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32154190660800).

16560488687400 is an abundant number, since it is smaller than the sum of its proper divisors (47747892634200).

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

16560488687400 is a wasteful number, since it uses less digits than its factorization.

16560488687400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7810 (or 7798 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 16560488687400 in words is "sixteen trillion, five hundred sixty billion, four hundred eighty-eight million, six hundred eighty-seven thousand, four hundred".