161113689938880 has 2016 divisors, whose sum is σ = 715561510809600. Its totient is φ = 33761087815680.

The previous prime is 161113689938857. The next prime is 161113689938941. The reversal of 161113689938880 is 88839986311161.

161113689938880 is a `hidden beast` number, since 1 + 6 + 11 + 13 + 68 + 99 + 388 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 161113689938799 and 161113689938808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6091471896 + ... + 6091498344.

It is an arithmetic number, because the mean of its divisors is an integer number (354941225600).

Almost surely, 2^{161113689938880} is an apocalyptic number.

161113689938880 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 161113689938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357780755404800).

161113689938880 is an abundant number, since it is smaller than the sum of its proper divisors (554447820870720).

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

161113689938880 is a wasteful number, since it uses less digits than its factorization.

161113689938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26557 (or 26516 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 72.

The spelling of 161113689938880 in words is "one hundred sixty-one trillion, one hundred thirteen billion, six hundred eighty-nine million, nine hundred thirty-eight thousand, eight hundred eighty".