161585424000 has 3072 divisors, whose sum is σ = 834043392000. Its totient is φ = 28864512000.

The previous prime is 161585423957. The next prime is 161585424061. The reversal of 161585424000 is 424585161.

It is a happy number.

161585424000 is a `hidden beast` number, since 1 + 61 + 58 + 542 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×161585424000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2738735971 + ... + 2738736029.

It is an arithmetic number, because the mean of its divisors is an integer number (271498500).

Almost surely, 2^161585424000 is an apocalyptic number.

161585424000 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 161585424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417021696000).

161585424000 is an abundant number, since it is smaller than the sum of its proper divisors (672457968000).

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

161585424000 is a wasteful number, since it uses less digits than its factorization.

161585424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

It can be divided in two parts, 161585 and 424000, that added together give a palindrome (585585).

The spelling of 161585424000 in words is "one hundred sixty-one billion, five hundred eighty-five million, four hundred twenty-four thousand".