11257007208 has 64 divisors (see below), whose sum is σ = 29425213440. Its totient is φ = 3581966784.

The previous prime is 11257007189. The next prime is 11257007263. The reversal of 11257007208 is 80270075211.

11257007208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11257007208² (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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257385 + ... + 297927.

It is an arithmetic number, because the mean of its divisors is an integer number (459768960).

Almost surely, 2^11257007208 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 11257007208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14712606720).

11257007208 is an abundant number, since it is smaller than the sum of its proper divisors (18168206232).

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

11257007208 is a wasteful number, since it uses less digits than its factorization.

11257007208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41078 (or 41074 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 33.

The spelling of 11257007208 in words is "eleven billion, two hundred fifty-seven million, seven thousand, two hundred eight".