235161645120 has 448 divisors, whose sum is σ = 864937543680. Its totient is φ = 60079104000.

The previous prime is 235161645113. The next prime is 235161645149. The reversal of 235161645120 is 21546161532.

235161645120 is a `hidden beast` number, since 2 + 3 + 5 + 1 + 6 + 1 + 645 + 1 + 2 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 27047494 + ... + 27056186.

It is an arithmetic number, because the mean of its divisors is an integer number (1930664160).

Almost surely, 2^235161645120 is an apocalyptic number.

235161645120 is a gapful number since it is divisible by the number (20) 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 235161645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432468771840).

235161645120 is an abundant number, since it is smaller than the sum of its proper divisors (629775898560).

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

235161645120 is a wasteful number, since it uses less digits than its factorization.

235161645120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8851 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 235161645120 in words is "two hundred thirty-five billion, one hundred sixty-one million, six hundred forty-five thousand, one hundred twenty".