161225804700 has 288 divisors, whose sum is σ = 533720214720. Its totient is φ = 41726361600.

The previous prime is 161225804689. The next prime is 161225804851. The reversal of 161225804700 is 7408522161.

161225804700 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 2 + 580 + 4 + 70 + 0 = 666.

161225804700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 21804204 + ... + 21811596.

It is an arithmetic number, because the mean of its divisors is an integer number (1853195190).

Almost surely, 2^161225804700 is an apocalyptic number.

161225804700 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 161225804700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266860107360).

161225804700 is an abundant number, since it is smaller than the sum of its proper divisors (372494410020).

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

161225804700 is a wasteful number, since it uses less digits than its factorization.

161225804700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7641 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 161225804700 in words is "one hundred sixty-one billion, two hundred twenty-five million, eight hundred four thousand, seven hundred".