161826693600 has 1728 divisors, whose sum is σ = 691695728640. Its totient is φ = 32420044800.

The previous prime is 161826693599. The next prime is 161826693617. The reversal of 161826693600 is 6396628161.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 161826693600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1949719159 + ... + 1949719241.

It is an arithmetic number, because the mean of its divisors is an integer number (400286880).

Almost surely, 2^161826693600 is an apocalyptic number.

161826693600 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 161826693600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345847864320).

161826693600 is an abundant number, since it is smaller than the sum of its proper divisors (529869035040).

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

161826693600 is a wasteful number, since it uses less digits than its factorization.

161826693600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 161826693600 in words is "one hundred sixty-one billion, eight hundred twenty-six million, six hundred ninety-three thousand, six hundred".