32921875100160 has 960 divisors, whose sum is σ = 121708028901888. Its totient is φ = 8205852475392.

The previous prime is 32921875100071. The next prime is 32921875100197. The reversal of 32921875100160 is 6100157812923.

32921875100160 is a `hidden beast` number, since 3 + 29 + 21 + 87 + 510 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×32921875100160² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7386552652 + ... + 7386557108.

Almost surely, 2^{32921875100160} is an apocalyptic number.

32921875100160 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 32921875100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60854014450944).

32921875100160 is an abundant number, since it is smaller than the sum of its proper divisors (88786153801728).

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

32921875100160 is a wasteful number, since it uses less digits than its factorization.

32921875100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 32921875100160 in words is "thirty-two trillion, nine hundred twenty-one billion, eight hundred seventy-five million, one hundred thousand, one hundred sixty".