11253875712 has 352 divisors, whose sum is σ = 33674296320. Its totient is φ = 3325132800.

The previous prime is 11253875707. The next prime is 11253875723. The reversal of 11253875712 is 21757835211.

It is a super-2 number, since 2×11253875712² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111424462 + ... + 111424562.

Almost surely, 2^11253875712 is an apocalyptic number.

11253875712 is a gapful number since it is divisible by the number (12) 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 11253875712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16837148160).

11253875712 is an abundant number, since it is smaller than the sum of its proper divisors (22420420608).

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

11253875712 is a wasteful number, since it uses less digits than its factorization.

11253875712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its digits is 117600, while the sum is 42.

The spelling of 11253875712 in words is "eleven billion, two hundred fifty-three million, eight hundred seventy-five thousand, seven hundred twelve".