32448789596160 has 1536 divisors, whose sum is σ = 136547873280000. Its totient is φ = 7304736079872.

The previous prime is 32448789596123. The next prime is 32448789596173. The reversal of 32448789596160 is 6169598784423.

32448789596160 is a `hidden beast` number, since 3 + 2 + 4 + 487 + 89 + 5 + 9 + 6 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a super-2 number, since 2×32448789596160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6353784327 + ... + 6353789433.

It is an arithmetic number, because the mean of its divisors is an integer number (88898355000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅32448789596160 = 64897579192320, but 3⋅32448789596160 = 97346368788480 is not.

Almost surely, 2^{32448789596160} is an apocalyptic number.

32448789596160 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 32448789596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68273936640000).

32448789596160 is an abundant number, since it is smaller than the sum of its proper divisors (104099083683840).

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

32448789596160 is an equidigital number, since it uses as much as digits as its factorization.

32448789596160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5231 (or 5191 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 32448789596160 in words is "thirty-two trillion, four hundred forty-eight billion, seven hundred eighty-nine million, five hundred ninety-six thousand, one hundred sixty".