182628825120 has 1152 divisors, whose sum is σ = 768899174400. Its totient is φ = 40351094784.

The previous prime is 182628825091. The next prime is 182628825157. The reversal of 182628825120 is 21528826281.

182628825120 is a `hidden beast` number, since 1 + 8 + 2 + 628 + 8 + 2 + 5 + 12 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1120422159 + ... + 1120422321.

It is an arithmetic number, because the mean of its divisors is an integer number (667447200).

Almost surely, 2^182628825120 is an apocalyptic number.

182628825120 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 182628825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384449587200).

182628825120 is an abundant number, since it is smaller than the sum of its proper divisors (586270349280).

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

182628825120 is a wasteful number, since it uses less digits than its factorization.

182628825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 182628825120 in words is "one hundred eighty-two billion, six hundred twenty-eight million, eight hundred twenty-five thousand, one hundred twenty".