120169526400 has 1536 divisors, whose sum is σ = 557564313600. Its totient is φ = 24858316800.

The previous prime is 120169526383. The next prime is 120169526453. The reversal of 120169526400 is 4625961021.

120169526400 is a `hidden beast` number, since 1 + 2 + 0 + 1 + 6 + 9 + 5 + 2 + 640 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 538876689 + ... + 538876911.

It is an arithmetic number, because the mean of its divisors is an integer number (362997600).

Almost surely, 2^120169526400 is an apocalyptic number.

120169526400 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 120169526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278782156800).

120169526400 is an abundant number, since it is smaller than the sum of its proper divisors (437394787200).

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

120169526400 is an equidigital number, since it uses as much as digits as its factorization.

120169526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 120169526400 in words is "one hundred twenty billion, one hundred sixty-nine million, five hundred twenty-six thousand, four hundred".