10181452320 has 864 divisors, whose sum is σ = 41955967872. Its totient is φ = 2235138048.

The previous prime is 10181452291. The next prime is 10181452339. The reversal of 10181452320 is 2325418101.

10181452320 is a `hidden beast` number, since 1 + 0 + 181 + 452 + 32 + 0 = 666.

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, 95153707 + ... + 95153813.

It is an arithmetic number, because the mean of its divisors is an integer number (48560148).

Almost surely, 2^10181452320 is an apocalyptic number.

10181452320 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 10181452320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20977983936).

10181452320 is an abundant number, since it is smaller than the sum of its proper divisors (31774515552).

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

10181452320 is a wasteful number, since it uses less digits than its factorization.

10181452320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10181452320 in words is "ten billion, one hundred eighty-one million, four hundred fifty-two thousand, three hundred twenty".