132593842888320 has 2048 divisors, whose sum is σ = 511353850798080. Its totient is φ = 28855133798400.

The previous prime is 132593842888301. The next prime is 132593842888349. The reversal of 132593842888320 is 23888248395231.

It is a super-2 number, since 2×132593842888320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 242401906287 + ... + 242401906833.

It is an arithmetic number, because the mean of its divisors is an integer number (249684497460).

Almost surely, 2^{132593842888320} is an apocalyptic number.

132593842888320 is a gapful number since it is divisible by the number (10) 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 132593842888320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255676925399040).

132593842888320 is an abundant number, since it is smaller than the sum of its proper divisors (378760007909760).

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

132593842888320 is a wasteful number, since it uses less digits than its factorization.

132593842888320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 66.

The spelling of 132593842888320 in words is "one hundred thirty-two trillion, five hundred ninety-three billion, eight hundred forty-two million, eight hundred eighty-eight thousand, three hundred twenty".