45531534025120 has 288 divisors, whose sum is σ = 128552346155520. Its totient is φ = 15024246650880.

The previous prime is 45531534025057. The next prime is 45531534025139. The reversal of 45531534025120 is 2152043513554.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79359441 + ... + 79931119.

It is an arithmetic number, because the mean of its divisors is an integer number (446362313040).

Almost surely, 2^{45531534025120} is an apocalyptic number.

45531534025120 is a gapful number since it is divisible by the number (40) 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 45531534025120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64276173077760).

45531534025120 is an abundant number, since it is smaller than the sum of its proper divisors (83020812130400).

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

45531534025120 is a wasteful number, since it uses less digits than its factorization.

45531534025120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571836 (or 571769 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

Adding to 45531534025120 its reverse (2152043513554), we get a palindrome (47683577538674).

The spelling of 45531534025120 in words is "forty-five trillion, five hundred thirty-one billion, five hundred thirty-four million, twenty-five thousand, one hundred twenty".