16561627742088 has 192 divisors, whose sum is σ = 52737202889280. Its totient is φ = 4629008678400.

The previous prime is 16561627742041. The next prime is 16561627742119. The reversal of 16561627742088 is 88024772616561.

16561627742088 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 1 + 62 + 77 + 420 + 88 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12582898 + ... + 13836638.

It is an arithmetic number, because the mean of its divisors is an integer number (274672931715).

Almost surely, 2^{16561627742088} is an apocalyptic number.

16561627742088 is a gapful number since it is divisible by the number (18) 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 16561627742088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26368601444640).

16561627742088 is an abundant number, since it is smaller than the sum of its proper divisors (36175575147192).

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

16561627742088 is a wasteful number, since it uses less digits than its factorization.

16561627742088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255060 (or 1255053 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 16561627742088 in words is "sixteen trillion, five hundred sixty-one billion, six hundred twenty-seven million, seven hundred forty-two thousand, eighty-eight".