163007550856800 has 1152 divisors, whose sum is σ = 639244655723520. Its totient is φ = 39850909286400.

The previous prime is 163007550856729. The next prime is 163007550856831. The reversal of 163007550856800 is 8658055700361.

163007550856800 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 0 + 7 + 5 + 508 + 56 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 25626085620 + ... + 25626091980.

It is an arithmetic number, because the mean of its divisors is an integer number (554899874760).

Almost surely, 2^{163007550856800} is an apocalyptic number.

163007550856800 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 163007550856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319622327861760).

163007550856800 is an abundant number, since it is smaller than the sum of its proper divisors (476237104866720).

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

163007550856800 is a wasteful number, since it uses less digits than its factorization.

163007550856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 6994 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 163007550856800 in words is "one hundred sixty-three trillion, seven billion, five hundred fifty million, eight hundred fifty-six thousand, eight hundred".