11270142720 has 216 divisors, whose sum is σ = 39122699616. Its totient is φ = 2995421184.

The previous prime is 11270142691. The next prime is 11270142727. The reversal of 11270142720 is 2724107211.

It is a happy number.

It is a super-2 number, since 2×11270142720² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11270142727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3880789 + ... + 3883691.

Almost surely, 2^11270142720 is an apocalyptic number.

11270142720 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 11270142720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19561349808).

11270142720 is an abundant number, since it is smaller than the sum of its proper divisors (27852556896).

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

11270142720 is a wasteful number, since it uses less digits than its factorization.

11270142720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3267 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

Adding to 11270142720 its reverse (2724107211), we get a palindrome (13994249931).

The spelling of 11270142720 in words is "eleven billion, two hundred seventy million, one hundred forty-two thousand, seven hundred twenty".