181360299697920 has 2304 divisors, whose sum is σ = 778742415360000. Its totient is φ = 39909368217600.

The previous prime is 181360299697813. The next prime is 181360299697939. The reversal of 181360299697920 is 29796992063181.

181360299697920 is a `hidden beast` number, since 1 + 8 + 1 + 3 + 602 + 9 + 9 + 6 + 9 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×181360299697920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77537536111 + ... + 77537538449.

It is an arithmetic number, because the mean of its divisors is an integer number (337995840000).

Almost surely, 2^{181360299697920} is an apocalyptic number.

181360299697920 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 181360299697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389371207680000).

181360299697920 is an abundant number, since it is smaller than the sum of its proper divisors (597382115662080).

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

181360299697920 is a wasteful number, since it uses less digits than its factorization.

181360299697920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2632 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 158723712, while the sum is 72.

The spelling of 181360299697920 in words is "one hundred eighty-one trillion, three hundred sixty billion, two hundred ninety-nine million, six hundred ninety-seven thousand, nine hundred twenty".