161605559088 has 240 divisors, whose sum is σ = 483870816000. Its totient is φ = 50228107776.

The previous prime is 161605559057. The next prime is 161605559119. The reversal of 161605559088 is 880955506161.

161605559088 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 0 + 5 + 559 + 0 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (161605559057) and next prime (161605559119).

It is a super-2 number, since 2×161605559088² (a number of 23 digits) contains 22 as substring.

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, 107808163 + ... + 107809661.

It is an arithmetic number, because the mean of its divisors is an integer number (2016128400).

Almost surely, 2^161605559088 is an apocalyptic number.

161605559088 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 161605559088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241935408000).

161605559088 is an abundant number, since it is smaller than the sum of its proper divisors (322265256912).

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

161605559088 is a wasteful number, since it uses less digits than its factorization.

161605559088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2336 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 161605559088 in words is "one hundred sixty-one billion, six hundred five million, five hundred fifty-nine thousand, eighty-eight".