161871615360 has 1536 divisors, whose sum is σ = 744223334400. Its totient is φ = 31473598464.

The previous prime is 161871615233. The next prime is 161871615463. The reversal of 161871615360 is 63516178161.

161871615360 is a `hidden beast` number, since 1 + 618 + 7 + 16 + 15 + 3 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 349614489 + ... + 349614951.

It is an arithmetic number, because the mean of its divisors is an integer number (484520400).

Almost surely, 2^161871615360 is an apocalyptic number.

161871615360 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 161871615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372111667200).

161871615360 is an abundant number, since it is smaller than the sum of its proper divisors (582351719040).

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

161871615360 is a wasteful number, since it uses less digits than its factorization.

161871615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 161871615360 in words is "one hundred sixty-one billion, eight hundred seventy-one million, six hundred fifteen thousand, three hundred sixty".