32172116400 has 360 divisors, whose sum is σ = 113984133120. Its totient is φ = 8401344000.

The previous prime is 32172116381. The next prime is 32172116401. The reversal of 32172116400 is 461127123.

32172116400 is a `hidden beast` number, since 3 + 2 + 1 + 7 + 2 + 11 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is not an unprimeable number, because it can be changed into a prime (32172116401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48819271 + ... + 48819929.

It is an arithmetic number, because the mean of its divisors is an integer number (316622592).

Almost surely, 2^32172116400 is an apocalyptic number.

32172116400 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 32172116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56992066560).

32172116400 is an abundant number, since it is smaller than the sum of its proper divisors (81812016720).

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

32172116400 is a wasteful number, since it uses less digits than its factorization.

32172116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 32172116400 in words is "thirty-two billion, one hundred seventy-two million, one hundred sixteen thousand, four hundred".