54532135120 has 80 divisors (see below), whose sum is σ = 128201825808. Its totient is φ = 21569863680.

The previous prime is 54532135103. The next prime is 54532135121. The reversal of 54532135120 is 2153123545.

It can be written as a sum of positive squares in 8 ways, for example, as 1089792144 + 53442342976 = 33012^2 + 231176^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54532135121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12856200 + ... + 12860440.

Almost surely, 2^54532135120 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 54532135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64100912904).

54532135120 is an abundant number, since it is smaller than the sum of its proper divisors (73669690688).

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

54532135120 is a wasteful number, since it uses less digits than its factorization.

54532135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6008 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

Adding to 54532135120 its reverse (2153123545), we get a palindrome (56685258665).

The spelling of 54532135120 in words is "fifty-four billion, five hundred thirty-two million, one hundred thirty-five thousand, one hundred twenty".