5303541402120 has 512 divisors, whose sum is σ = 17556366643200. Its totient is φ = 1273786601472.

The previous prime is 5303541402097. The next prime is 5303541402121. The reversal of 5303541402120 is 212041453035.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5303541402121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 6321264661 + ... + 6321265499.

It is an arithmetic number, because the mean of its divisors is an integer number (34289778600).

Almost surely, 2^{5303541402120} 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 5303541402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778183321600).

5303541402120 is an abundant number, since it is smaller than the sum of its proper divisors (12252825241080).

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

5303541402120 is a wasteful number, since it uses less digits than its factorization.

5303541402120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 5303541402120 its reverse (212041453035), we get a palindrome (5515582855155).

The spelling of 5303541402120 in words is "five trillion, three hundred three billion, five hundred forty-one million, four hundred two thousand, one hundred twenty".