161890747200 has 2520 divisors, whose sum is σ = 780065431992. Its totient is φ = 32606945280.

The previous prime is 161890747189. The next prime is 161890747267. The reversal of 161890747200 is 2747098161.

It is a happy number.

161890747200 is a `hidden beast` number, since 1 + 618 + 9 + 0 + 7 + 4 + 7 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 23167275264 + 138723471936 = 152208^2 + 372456^2 .

It is a tau number, because it is divible by the number of its divisors (2520).

It is a super-2 number, since 2×161890747200² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3054542374 + ... + 3054542426.

Almost surely, 2^161890747200 is an apocalyptic number.

161890747200 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 161890747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390032715996).

161890747200 is an abundant number, since it is smaller than the sum of its proper divisors (618174684792).

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

161890747200 is a wasteful number, since it uses less digits than its factorization.

161890747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 161890747200 in words is "one hundred sixty-one billion, eight hundred ninety million, seven hundred forty-seven thousand, two hundred".