11257607140 has 144 divisors (see below), whose sum is σ = 26894851200. Its totient is φ = 3948831744.

The previous prime is 11257607113. The next prime is 11257607147. The reversal of 11257607140 is 4170675211.

11257607140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11257607096 and 11257607105.

It is not an unprimeable number, because it can be changed into a prime (11257607147) 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 47 ways as a sum of consecutive naturals, for example, 13915056 + ... + 13915864.

It is an arithmetic number, because the mean of its divisors is an integer number (186769800).

Almost surely, 2^11257607140 is an apocalyptic number.

11257607140 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 11257607140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447425600).

11257607140 is an abundant number, since it is smaller than the sum of its proper divisors (15637244060).

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

11257607140 is a wasteful number, since it uses less digits than its factorization.

11257607140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 34.

The spelling of 11257607140 in words is "eleven billion, two hundred fifty-seven million, six hundred seven thousand, one hundred forty".