161095009680 has 800 divisors, whose sum is σ = 680386988160. Its totient is φ = 34816573440.

The previous prime is 161095009679. The next prime is 161095009717. The reversal of 161095009680 is 86900590161.

161095009680 is a `hidden beast` number, since 1 + 61 + 0 + 9 + 500 + 9 + 6 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23019942 + ... + 23026938.

Almost surely, 2^161095009680 is an apocalyptic number.

161095009680 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 161095009680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340193494080).

161095009680 is an abundant number, since it is smaller than the sum of its proper divisors (519291978480).

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

161095009680 is a wasteful number, since it uses less digits than its factorization.

161095009680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7069 (or 7054 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 161095009680 in words is "one hundred sixty-one billion, ninety-five million, nine thousand, six hundred eighty".