181251120960 has 1680 divisors, whose sum is σ = 835819243776. Its totient is φ = 36436967424.

The previous prime is 181251120917. The next prime is 181251120991. The reversal of 181251120960 is 69021152181.

181251120960 is a `hidden beast` number, since 1 + 81 + 2 + 511 + 2 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 705257152 + ... + 705257408.

Almost surely, 2^181251120960 is an apocalyptic number.

181251120960 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 181251120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417909621888).

181251120960 is an abundant number, since it is smaller than the sum of its proper divisors (654568122816).

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

181251120960 is a wasteful number, since it uses less digits than its factorization.

181251120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 181251120960 in words is "one hundred eighty-one billion, two hundred fifty-one million, one hundred twenty thousand, nine hundred sixty".