53132640173000 has 256 divisors, whose sum is σ = 128988490176000. Its totient is φ = 20470737408000.

The previous prime is 53132640172889. The next prime is 53132640173009. The reversal of 53132640173000 is 37104623135.

It is not an unprimeable number, because it can be changed into a prime (53132640173009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2492256341 + ... + 2492277659.

It is an arithmetic number, because the mean of its divisors is an integer number (503861289750).

Almost surely, 2^{53132640173000} is an apocalyptic number.

53132640173000 is a gapful number since it is divisible by the number (50) 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 53132640173000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64494245088000).

53132640173000 is an abundant number, since it is smaller than the sum of its proper divisors (75855850003000).

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

53132640173000 is a wasteful number, since it uses less digits than its factorization.

53132640173000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22153 (or 22139 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

Adding to 53132640173000 its reverse (37104623135), we get a palindrome (53169744796135).

The spelling of 53132640173000 in words is "fifty-three trillion, one hundred thirty-two billion, six hundred forty million, one hundred seventy-three thousand".