32142124254560 has 192 divisors, whose sum is σ = 80544665537280. Its totient is φ = 12087073290240.

The previous prime is 32142124254547. The next prime is 32142124254563. The reversal of 32142124254560 is 6545242124123.

It is a super-3 number, since 3×32142124254560³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32142124254563) 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 31 ways as a sum of consecutive naturals, for example, 375576575 + ... + 375662145.

It is an arithmetic number, because the mean of its divisors is an integer number (419503466340).

Almost surely, 2^{32142124254560} 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 32142124254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40272332768640).

32142124254560 is an abundant number, since it is smaller than the sum of its proper divisors (48402541282720).

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

32142124254560 is a wasteful number, since it uses less digits than its factorization.

32142124254560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86549 (or 86541 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 41.

Adding to 32142124254560 its reverse (6545242124123), we get a palindrome (38687366378683).

The spelling of 32142124254560 in words is "thirty-two trillion, one hundred forty-two billion, one hundred twenty-four million, two hundred fifty-four thousand, five hundred sixty".