161658135360 has 672 divisors, whose sum is σ = 622120891392. Its totient is φ = 38335610880.

The previous prime is 161658135323. The next prime is 161658135371. The reversal of 161658135360 is 63531856161.

161658135360 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 581 + 3 + 5 + 3 + 60 = 666.

It is a super-2 number, since 2×161658135360² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 65262442 + ... + 65264918.

It is an arithmetic number, because the mean of its divisors is an integer number (925775136).

Almost surely, 2^161658135360 is an apocalyptic number.

161658135360 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 161658135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311060445696).

161658135360 is an abundant number, since it is smaller than the sum of its proper divisors (460462756032).

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

161658135360 is a wasteful number, since it uses less digits than its factorization.

161658135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2591 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 161658135360 in words is "one hundred sixty-one billion, six hundred fifty-eight million, one hundred thirty-five thousand, three hundred sixty".