32166049820800 has 384 divisors, whose sum is σ = 91764373668480. Its totient is φ = 10912788480000.

The previous prime is 32166049820789. The next prime is 32166049820813. The reversal of 32166049820800 is 802894066123.

It is a super-2 number, since 2×32166049820800² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5454643452 + ... + 5454649348.

It is an arithmetic number, because the mean of its divisors is an integer number (238969723095).

Almost surely, 2^{32166049820800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32166049820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45882186834240).

32166049820800 is an abundant number, since it is smaller than the sum of its proper divisors (59598323847680).

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

32166049820800 is a wasteful number, since it uses less digits than its factorization.

32166049820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8440 (or 8423 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 32166049820800 in words is "thirty-two trillion, one hundred sixty-six billion, forty-nine million, eight hundred twenty thousand, eight hundred".