161075514600 has 2592 divisors, whose sum is σ = 790426596960. Its totient is φ = 30177100800.

The previous prime is 161075514577. The next prime is 161075514637. The reversal of 161075514600 is 6415570161.

It is a happy number.

161075514600 is a `hidden beast` number, since 1 + 6 + 10 + 75 + 514 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 3745942179 + ... + 3745942221.

Almost surely, 2^161075514600 is an apocalyptic number.

161075514600 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 161075514600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395213298480).

161075514600 is an abundant number, since it is smaller than the sum of its proper divisors (629351082360).

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

161075514600 is a wasteful number, since it uses less digits than its factorization.

161075514600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 161075514600 in words is "one hundred sixty-one billion, seventy-five million, five hundred fourteen thousand, six hundred".