11084739840 has 720 divisors, whose sum is σ = 44340246720. Its totient is φ = 2627665920.

The previous prime is 11084739833. The next prime is 11084739881. The reversal of 11084739840 is 4893748011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33488475 + ... + 33488805.

It is an arithmetic number, because the mean of its divisors is an integer number (61583676).

Almost surely, 2^11084739840 is an apocalyptic number.

11084739840 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 11084739840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22170123360).

11084739840 is an abundant number, since it is smaller than the sum of its proper divisors (33255506880).

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

11084739840 is a wasteful number, since it uses less digits than its factorization.

11084739840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11084739840 in words is "eleven billion, eighty-four million, seven hundred thirty-nine thousand, eight hundred forty".