163085270400 has 1728 divisors, whose sum is σ = 701388389520. Its totient is φ = 37265080320.

The previous prime is 163085270399. The next prime is 163085270471. The reversal of 163085270400 is 4072580361.

163085270400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×163085270400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2234044764 + ... + 2234044836.

Almost surely, 2^163085270400 is an apocalyptic number.

163085270400 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 163085270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350694194760).

163085270400 is an abundant number, since it is smaller than the sum of its proper divisors (538303119120).

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

163085270400 is a wasteful number, since it uses less digits than its factorization.

163085270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 163085270400 in words is "one hundred sixty-three billion, eighty-five million, two hundred seventy thousand, four hundred".