161179856640 has 576 divisors, whose sum is σ = 626229273600. Its totient is φ = 38932070400.

The previous prime is 161179856623. The next prime is 161179856653. The reversal of 161179856640 is 46658971161.

161179856640 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 79 + 8 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136476850 + ... + 136478030.

It is an arithmetic number, because the mean of its divisors is an integer number (1087203600).

Almost surely, 2^161179856640 is an apocalyptic number.

161179856640 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 161179856640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313114636800).

161179856640 is an abundant number, since it is smaller than the sum of its proper divisors (465049416960).

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

161179856640 is a wasteful number, since it uses less digits than its factorization.

161179856640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1561 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 161179856640 in words is "one hundred sixty-one billion, one hundred seventy-nine million, eight hundred fifty-six thousand, six hundred forty".