152853472800 has 432 divisors, whose sum is σ = 621473973120. Its totient is φ = 34627461120.

The previous prime is 152853472747. The next prime is 152853472813. The reversal of 152853472800 is 8274358251.

152853472800 is a `hidden beast` number, since 1 + 5 + 28 + 5 + 347 + 280 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5681781 + ... + 5708619.

It is an arithmetic number, because the mean of its divisors is an integer number (1438597160).

Almost surely, 2^152853472800 is an apocalyptic number.

152853472800 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 152853472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310736986560).

152853472800 is an abundant number, since it is smaller than the sum of its proper divisors (468620500320).

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

152853472800 is a wasteful number, since it uses less digits than its factorization.

152853472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26985 (or 26969 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 152853472800 in words is "one hundred fifty-two billion, eight hundred fifty-three million, four hundred seventy-two thousand, eight hundred".