32873852160 has 288 divisors, whose sum is σ = 121731482880. Its totient is φ = 8385011712.

The previous prime is 32873852159. The next prime is 32873852177. The reversal of 32873852160 is 6125837823.

32873852160 is a `hidden beast` number, since 32 + 8 + 7 + 38 + 521 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774202 + ... + 815558.

It is an arithmetic number, because the mean of its divisors is an integer number (422678760).

Almost surely, 2^32873852160 is an apocalyptic number.

32873852160 is a gapful number since it is divisible by the number (30) 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 32873852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60865741440).

32873852160 is an abundant number, since it is smaller than the sum of its proper divisors (88857630720).

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

32873852160 is a wasteful number, since it uses less digits than its factorization.

32873852160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41410 (or 41390 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 32873852160 in words is "thirty-two billion, eight hundred seventy-three million, eight hundred fifty-two thousand, one hundred sixty".