163887310540800 has 4992 divisors, whose sum is σ = 816239414476800. Its totient is φ = 31197560832000.

The previous prime is 163887310540783. The next prime is 163887310540823. The reversal of 163887310540800 is 8045013788361.

It is a happy number.

163887310540800 is a `hidden beast` number, since 1 + 6 + 3 + 8 + 8 + 7 + 3 + 10 + 540 + 80 + 0 = 666.

It is a super-2 number, since 2×163887310540800² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 125391973747 + ... + 125391975053.

Almost surely, 2^{163887310540800} is an apocalyptic number.

163887310540800 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 163887310540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408119707238400).

163887310540800 is an abundant number, since it is smaller than the sum of its proper divisors (652352103936000).

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

163887310540800 is a wasteful number, since it uses less digits than its factorization.

163887310540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 163887310540800 in words is "one hundred sixty-three trillion, eight hundred eighty-seven billion, three hundred ten million, five hundred forty thousand, eight hundred".