163890890240 has 640 divisors, whose sum is σ = 525571504128. Its totient is φ = 47492628480.

The previous prime is 163890890239. The next prime is 163890890321. The reversal of 163890890240 is 42098098361.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167748632 + ... + 167749608.

Almost surely, 2^163890890240 is an apocalyptic number.

163890890240 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 163890890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262785752064).

163890890240 is an abundant number, since it is smaller than the sum of its proper divisors (361680613888).

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

163890890240 is a wasteful number, since it uses less digits than its factorization.

163890890240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 50.

The spelling of 163890890240 in words is "one hundred sixty-three billion, eight hundred ninety million, eight hundred ninety thousand, two hundred forty".