53135311140120 has 256 divisors, whose sum is σ = 180157319769600. Its totient is φ = 12418889584640.

The previous prime is 53135311140113. The next prime is 53135311140127. The reversal of 53135311140120 is 2104111353135.

It is an interprime number because it is at equal distance from previous prime (53135311140113) and next prime (53135311140127).

It is a super-2 number, since 2×53135311140120² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53135311140127) 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, 25129084 + ... + 27161396.

It is an arithmetic number, because the mean of its divisors is an integer number (703739530350).

Almost surely, 2^{53135311140120} 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 53135311140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90078659884800).

53135311140120 is an abundant number, since it is smaller than the sum of its proper divisors (127022008629480).

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

53135311140120 is a wasteful number, since it uses less digits than its factorization.

53135311140120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033050 (or 2033046 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

Adding to 53135311140120 its reverse (2104111353135), we get a palindrome (55239422493255).

The spelling of 53135311140120 in words is "fifty-three trillion, one hundred thirty-five billion, three hundred eleven million, one hundred forty thousand, one hundred twenty".