161840707200 has 288 divisors, whose sum is σ = 611456271660. Its totient is φ = 40618721280.

The previous prime is 161840707199. The next prime is 161840707229. The reversal of 161840707200 is 2707048161.

It can be written as a sum of positive squares in 6 ways, for example, as 115670730816 + 46169976384 = 340104^2 + 214872^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×161840707200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 324322 + ... + 654878.

Almost surely, 2^161840707200 is an apocalyptic number.

161840707200 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 161840707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305728135830).

161840707200 is an abundant number, since it is smaller than the sum of its proper divisors (449615564460).

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

161840707200 is a wasteful number, since it uses less digits than its factorization.

161840707200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330604 (or 330584 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 161840707200 in words is "one hundred sixty-one billion, eight hundred forty million, seven hundred seven thousand, two hundred".