13435542120 has 512 divisors, whose sum is σ = 55599022080. Its totient is φ = 2506567680.

The previous prime is 13435542101. The next prime is 13435542121. The reversal of 13435542120 is 2124553431.

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 (13435542121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4442929 + ... + 4445951.

It is an arithmetic number, because the mean of its divisors is an integer number (108591840).

Almost surely, 2^13435542120 is an apocalyptic number.

13435542120 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 13435542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27799511040).

13435542120 is an abundant number, since it is smaller than the sum of its proper divisors (42163479960).

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

13435542120 is a wasteful number, since it uses less digits than its factorization.

13435542120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105 (or 3101 counting only the distinct ones).

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

It can be divided in two parts, 13435 and 542120, that added together give a palindrome (555555).

The spelling of 13435542120 in words is "thirteen billion, four hundred thirty-five million, five hundred forty-two thousand, one hundred twenty".