163152838800 has 540 divisors, whose sum is σ = 669407321856. Its totient is φ = 36010137600.

The previous prime is 163152838781. The next prime is 163152838817. The reversal of 163152838800 is 8838251361.

163152838800 is a `hidden beast` number, since 1 + 631 + 5 + 2 + 8 + 3 + 8 + 8 + 0 + 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 107 ways as a sum of consecutive naturals, for example, 357008172 + ... + 357008628.

Almost surely, 2^163152838800 is an apocalyptic number.

163152838800 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 163152838800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334703660928).

163152838800 is an abundant number, since it is smaller than the sum of its proper divisors (506254483056).

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

163152838800 is a wasteful number, since it uses less digits than its factorization.

163152838800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 163152838800 in words is "one hundred sixty-three billion, one hundred fifty-two million, eight hundred thirty-eight thousand, eight hundred".