32227257600000 has 864 divisors, whose sum is σ = 117255891392640. Its totient is φ = 8526336000000.

The previous prime is 32227257599963. The next prime is 32227257600001. The reversal of 32227257600000 is 675272223.

32227257600000 is a `hidden beast` number, since 3 + 2 + 2 + 27 + 25 + 7 + 600 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×32227257600000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32227257600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7545597865 + ... + 7545602135.

It is an arithmetic number, because the mean of its divisors is an integer number (135712837260).

Almost surely, 2^{32227257600000} is an apocalyptic number.

32227257600000 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 32227257600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58627945696320).

32227257600000 is an abundant number, since it is smaller than the sum of its proper divisors (85028633792640).

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

32227257600000 is an equidigital number, since it uses as much as digits as its factorization.

32227257600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4455 (or 4412 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 32227257600000 in words is "thirty-two trillion, two hundred twenty-seven billion, two hundred fifty-seven million, six hundred thousand".