32193126221760 has 672 divisors, whose sum is σ = 130090445147520. Its totient is φ = 7152912728064.

The previous prime is 32193126221749. The next prime is 32193126221761. The reversal of 32193126221760 is 6712262139123.

It is a happy number.

32193126221760 is a `hidden beast` number, since 3 + 2 + 1 + 9 + 3 + 1 + 2 + 622 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32193126221761) 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 95 ways as a sum of consecutive naturals, for example, 827205822 + ... + 827244738.

Almost surely, 2^{32193126221760} is an apocalyptic number.

32193126221760 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 32193126221760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65045222573760).

32193126221760 is an abundant number, since it is smaller than the sum of its proper divisors (97897318925760).

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

32193126221760 is a wasteful number, since it uses less digits than its factorization.

32193126221760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40093 (or 40080 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 32193126221760 in words is "thirty-two trillion, one hundred ninety-three billion, one hundred twenty-six million, two hundred twenty-one thousand, seven hundred sixty".