11764117728 has 192 divisors, whose sum is σ = 38722924800. Its totient is φ = 3441876480.

The previous prime is 11764117709. The next prime is 11764117733. The reversal of 11764117728 is 82771146711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254275 + ... + 296957.

It is an arithmetic number, because the mean of its divisors is an integer number (201681900).

Almost surely, 2^11764117728 is an apocalyptic number.

11764117728 is a gapful number since it is divisible by the number (18) 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 11764117728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19361462400).

11764117728 is an abundant number, since it is smaller than the sum of its proper divisors (26958807072).

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

11764117728 is a wasteful number, since it uses less digits than its factorization.

11764117728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42742 (or 42728 counting only the distinct ones).

The product of its digits is 131712, while the sum is 45.

The spelling of 11764117728 in words is "eleven billion, seven hundred sixty-four million, one hundred seventeen thousand, seven hundred twenty-eight".