161952745680 has 320 divisors, whose sum is σ = 640580428800. Its totient is φ = 37194785280.

The previous prime is 161952745679. The next prime is 161952745687. The reversal of 161952745680 is 86547259161.

It is a happy number.

161952745680 is a `hidden beast` number, since 1 + 6 + 1 + 9 + 5 + 2 + 74 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161952745687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272067 + ... + 630813.

It is an arithmetic number, because the mean of its divisors is an integer number (2001813840).

Almost surely, 2^161952745680 is an apocalyptic number.

161952745680 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 161952745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320290214400).

161952745680 is an abundant number, since it is smaller than the sum of its proper divisors (478627683120).

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

161952745680 is a wasteful number, since it uses less digits than its factorization.

161952745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358799 (or 358787 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 161952745680 in words is "one hundred sixty-one billion, nine hundred fifty-two million, seven hundred forty-five thousand, six hundred eighty".