163056673382400 has 2688 divisors, whose sum is σ = 700125601950720. Its totient is φ = 36892429516800.

The previous prime is 163056673382377. The next prime is 163056673382423. The reversal of 163056673382400 is 4283376650361.

163056673382400 is a `hidden beast` number, since 1 + 6 + 3 + 0 + 5 + 6 + 67 + 338 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (163056673382377) and next prime (163056673382423).

It is a tau number, because it is divible by the number of its divisors (2688).

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, 410722099002 + ... + 410722099398.

Almost surely, 2^{163056673382400} is an apocalyptic number.

163056673382400 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 163056673382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350062800975360).

163056673382400 is an abundant number, since it is smaller than the sum of its proper divisors (537068928568320).

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

163056673382400 is an frugal number, since it uses more digits than its factorization.

163056673382400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 163056673382400 in words is "one hundred sixty-three trillion, fifty-six billion, six hundred seventy-three million, three hundred eighty-two thousand, four hundred".