161024715600 has 480 divisors, whose sum is σ = 612664715520. Its totient is φ = 35371499520.

The previous prime is 161024715557. The next prime is 161024715641. The reversal of 161024715600 is 6517420161.

161024715600 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56757382 + ... + 56760218.

It is an arithmetic number, because the mean of its divisors is an integer number (1276384824).

Almost surely, 2^161024715600 is an apocalyptic number.

161024715600 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 161024715600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306332357760).

161024715600 is an abundant number, since it is smaller than the sum of its proper divisors (451639999920).

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

161024715600 is a wasteful number, since it uses less digits than its factorization.

161024715600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3127 (or 3116 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 161024715600 in words is "one hundred sixty-one billion, twenty-four million, seven hundred fifteen thousand, six hundred".