11384827776 has 768 divisors, whose sum is σ = 42418944000. Its totient is φ = 2988969984.

The previous prime is 11384827771. The next prime is 11384827787. The reversal of 11384827776 is 67772848311.

It is a super-2 number, since 2×11384827776² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11384827771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144111705 + ... + 144111783.

It is an arithmetic number, because the mean of its divisors is an integer number (55233000).

Almost surely, 2^11384827776 is an apocalyptic number.

11384827776 is a gapful number since it is divisible by the number (16) 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 11384827776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21209472000).

11384827776 is an abundant number, since it is smaller than the sum of its proper divisors (31034116224).

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

11384827776 is a wasteful number, since it uses less digits than its factorization.

11384827776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 151 counting only the distinct ones).

The product of its digits is 3161088, while the sum is 54.

It can be divided in two parts, 11384 and 827776, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 11384827776 in words is "eleven billion, three hundred eighty-four million, eight hundred twenty-seven thousand, seven hundred seventy-six".