11557742364 has 192 divisors, whose sum is σ = 35404185600. Its totient is φ = 3192198336.

The previous prime is 11557742363. The next prime is 11557742387. The reversal of 11557742364 is 46324775511.

11557742364 is a `hidden beast` number, since 1 + 1 + 5 + 577 + 42 + 36 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11557742363) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2947197 + ... + 2951115.

It is an arithmetic number, because the mean of its divisors is an integer number (184396800).

Almost surely, 2^11557742364 is an apocalyptic number.

11557742364 is a gapful number since it is divisible by the number (14) 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 11557742364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17702092800).

11557742364 is an abundant number, since it is smaller than the sum of its proper divisors (23846443236).

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

11557742364 is a wasteful number, since it uses less digits than its factorization.

11557742364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4069 (or 4061 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The spelling of 11557742364 in words is "eleven billion, five hundred fifty-seven million, seven hundred forty-two thousand, three hundred sixty-four".