161853926400 has 1188 divisors, whose sum is σ = 648779799096. Its totient is φ = 38397542400.

The previous prime is 161853926389. The next prime is 161853926411. The reversal of 161853926400 is 4629358161.

161853926400 is a `hidden beast` number, since 1 + 618 + 5 + 3 + 9 + 26 + 4 + 0 + 0 = 666.

161853926400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (161853926389) and next prime (161853926411).

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

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3764044779 + ... + 3764044821.

It is an arithmetic number, because the mean of its divisors is an integer number (546110942).

Almost surely, 2^161853926400 is an apocalyptic number.

161853926400 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 161853926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324389899548).

161853926400 is an abundant number, since it is smaller than the sum of its proper divisors (486925872696).

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

161853926400 is a wasteful number, since it uses less digits than its factorization.

161853926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 161853926400 in words is "one hundred sixty-one billion, eight hundred fifty-three million, nine hundred twenty-six thousand, four hundred".