161007194880 has 864 divisors, whose sum is σ = 686297364480. Its totient is φ = 35602882560.

The previous prime is 161007194851. The next prime is 161007194893. The reversal of 161007194880 is 88491700161.

It is a happy number.

161007194880 is a `hidden beast` number, since 161 + 0 + 0 + 7 + 1 + 9 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 52495107 + ... + 52498173.

Almost surely, 2^161007194880 is an apocalyptic number.

161007194880 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 161007194880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343148682240).

161007194880 is an abundant number, since it is smaller than the sum of its proper divisors (525290169600).

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

161007194880 is a wasteful number, since it uses less digits than its factorization.

161007194880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 161007194880 in words is "one hundred sixty-one billion, seven million, one hundred ninety-four thousand, eight hundred eighty".