11538252768 has 96 divisors (see below), whose sum is σ = 34887573504. Its totient is φ = 3270661632.

The previous prime is 11538252743. The next prime is 11538252787. The reversal of 11538252768 is 86725283511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17746 + ... + 152942.

It is an arithmetic number, because the mean of its divisors is an integer number (363412224).

Almost surely, 2^11538252768 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 11538252768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17443786752).

11538252768 is an abundant number, since it is smaller than the sum of its proper divisors (23349320736).

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

11538252768 is a wasteful number, since it uses less digits than its factorization.

11538252768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135344 (or 135336 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The spelling of 11538252768 in words is "eleven billion, five hundred thirty-eight million, two hundred fifty-two thousand, seven hundred sixty-eight".