11257502842432 has 168 divisors, whose sum is σ = 28351911820320. Its totient is φ = 4385543178240.

The previous prime is 11257502842351. The next prime is 11257502842433. The reversal of 11257502842432 is 23424820575211.

11257502842432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11257502842433) 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, 502354044 + ... + 502376452.

Almost surely, 2^{11257502842432} 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 11257502842432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175955910160).

11257502842432 is an abundant number, since it is smaller than the sum of its proper divisors (17094408977888).

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

11257502842432 is a wasteful number, since it uses less digits than its factorization.

11257502842432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37009 (or 36992 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 46.

The spelling of 11257502842432 in words is "eleven trillion, two hundred fifty-seven billion, five hundred two million, eight hundred forty-two thousand, four hundred thirty-two".