11084451840 has 936 divisors, whose sum is σ = 48944697984. Its totient is φ = 2270822400.

The previous prime is 11084451839. The next prime is 11084451863. The reversal of 11084451840 is 4815448011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11084451795 and 11084451804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156119005 + ... + 156119075.

It is an arithmetic number, because the mean of its divisors is an integer number (52291344).

Almost surely, 2^11084451840 is an apocalyptic number.

11084451840 is a gapful number since it is divisible by the number (10) 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 11084451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24472348992).

11084451840 is an abundant number, since it is smaller than the sum of its proper divisors (37860246144).

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

11084451840 is a wasteful number, since it uses less digits than its factorization.

11084451840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 11084451840 its reverse (4815448011), we get a palindrome (15899899851).

The spelling of 11084451840 in words is "eleven billion, eighty-four million, four hundred fifty-one thousand, eight hundred forty".