213673928160 has 768 divisors, whose sum is σ = 886574481408. Its totient is φ = 41958604800.

The previous prime is 213673928119. The next prime is 213673928173. The reversal of 213673928160 is 61829376312.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 49265512 + ... + 49269848.

It is an arithmetic number, because the mean of its divisors is an integer number (1154393856).

Almost surely, 2^213673928160 is an apocalyptic number.

213673928160 is a gapful number since it is divisible by the number (20) 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 213673928160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443287240704).

213673928160 is an abundant number, since it is smaller than the sum of its proper divisors (672900553248).

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

213673928160 is a wasteful number, since it uses less digits than its factorization.

213673928160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4447 (or 4439 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 213673928160 in words is "two hundred thirteen billion, six hundred seventy-three million, nine hundred twenty-eight thousand, one hundred sixty".