181827455040 has 1008 divisors, whose sum is σ = 793028396160. Its totient is φ = 37428019200.

The previous prime is 181827455027. The next prime is 181827455063. The reversal of 181827455040 is 40554728181.

181827455040 is a `hidden beast` number, since 1 + 81 + 8 + 27 + 45 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×181827455040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 319555876 + ... + 319556444.

It is an arithmetic number, because the mean of its divisors is an integer number (786734520).

Almost surely, 2^181827455040 is an apocalyptic number.

181827455040 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 181827455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396514198080).

181827455040 is an abundant number, since it is smaller than the sum of its proper divisors (611200941120).

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

181827455040 is a wasteful number, since it uses less digits than its factorization.

181827455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 181827455040 in words is "one hundred eighty-one billion, eight hundred twenty-seven million, four hundred fifty-five thousand, forty".