11098513440 has 288 divisors, whose sum is σ = 44777940480. Its totient is φ = 2449262592.

The previous prime is 11098513399. The next prime is 11098513457. The reversal of 11098513440 is 4431589011.

11098513440 is a `hidden beast` number, since 1 + 10 + 98 + 513 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 11098513395 and 11098513404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273337 + ... + 311303.

It is an arithmetic number, because the mean of its divisors is an integer number (155478960).

Almost surely, 2^11098513440 is an apocalyptic number.

11098513440 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 11098513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22388970240).

11098513440 is an abundant number, since it is smaller than the sum of its proper divisors (33679427040).

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

11098513440 is a wasteful number, since it uses less digits than its factorization.

11098513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38024 (or 38013 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11098513440 in words is "eleven billion, ninety-eight million, five hundred thirteen thousand, four hundred forty".