161013790080 has 864 divisors, whose sum is σ = 662252507280. Its totient is φ = 36004700160.

The previous prime is 161013790073. The next prime is 161013790097. The reversal of 161013790080 is 80097310161.

161013790080 is a `hidden beast` number, since 1 + 610 + 1 + 37 + 9 + 0 + 0 + 8 + 0 = 666.

161013790080 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 117785557 + ... + 117786923.

Almost surely, 2^161013790080 is an apocalyptic number.

161013790080 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 161013790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331126253640).

161013790080 is an abundant number, since it is smaller than the sum of its proper divisors (501238717200).

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

161013790080 is a wasteful number, since it uses less digits than its factorization.

161013790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 161013790080 in words is "one hundred sixty-one billion, thirteen million, seven hundred ninety thousand, eighty".