11522428054038 has 160 divisors (see below), whose sum is σ = 28624640647680. Its totient is φ = 3435132939840.

The previous prime is 11522428054037. The next prime is 11522428054079. The reversal of 11522428054038 is 83045082422511.

11522428054038 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 24 + 2 + 80 + 540 + 3 + 8 = 666.

11522428054038 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 = 11522428053984 and 11522428054002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11522428054037) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35186556 + ... + 35512512.

It is an arithmetic number, because the mean of its divisors is an integer number (178904004048).

Almost surely, 2^{11522428054038} is an apocalyptic number.

11522428054038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11522428054038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14312320323840).

11522428054038 is an abundant number, since it is smaller than the sum of its proper divisors (17102212593642).

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

11522428054038 is a wasteful number, since it uses less digits than its factorization.

11522428054038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326304 (or 326295 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 11522428054038 in words is "eleven trillion, five hundred twenty-two billion, four hundred twenty-eight million, fifty-four thousand, thirty-eight".