7162135020 has 240 divisors, whose sum is σ = 24373597248. Its totient is φ = 1753436160.

The previous prime is 7162135009. The next prime is 7162135027. The reversal of 7162135020 is 205312617.

It is a happy number.

7162135020 is a `hidden beast` number, since 7 + 1 + 621 + 35 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7162135027) 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 79 ways as a sum of consecutive naturals, for example, 1125969 + ... + 1132311.

Almost surely, 2^7162135020 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 7162135020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12186798624).

7162135020 is an abundant number, since it is smaller than the sum of its proper divisors (17211462228).

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

7162135020 is a wasteful number, since it uses less digits than its factorization.

7162135020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6422 (or 6411 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 7162135020 is about 84629.3980836447. The cubic root of 7162135020 is about 1927.5877959676.

Adding to 7162135020 its reverse (205312617), we get a palindrome (7367447637).

The spelling of 7162135020 in words is "seven billion, one hundred sixty-two million, one hundred thirty-five thousand, twenty".