11874537768 has 128 divisors (see below), whose sum is σ = 31881600000. Its totient is φ = 3674345472.

The previous prime is 11874537767. The next prime is 11874537821. The reversal of 11874537768 is 86773547811.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (11874537767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12079405 + ... + 12080387.

It is an arithmetic number, because the mean of its divisors is an integer number (249075000).

Almost surely, 2^11874537768 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 11874537768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15940800000).

11874537768 is an abundant number, since it is smaller than the sum of its proper divisors (20007062232).

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

11874537768 is a wasteful number, since it uses less digits than its factorization.

11874537768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1515 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 57.

The spelling of 11874537768 in words is "eleven billion, eight hundred seventy-four million, five hundred thirty-seven thousand, seven hundred sixty-eight".