11139828480 has 288 divisors, whose sum is σ = 43126110720. Its totient is φ = 2700472320.

The previous prime is 11139828467. The next prime is 11139828509. The reversal of 11139828480 is 8482893111.

11139828480 is a `hidden beast` number, since 11 + 139 + 8 + 28 + 480 = 666.

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

It is a super-2 number, since 2×11139828480² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 365509 + ... + 394811.

It is an arithmetic number, because the mean of its divisors is an integer number (149743440).

Almost surely, 2^11139828480 is an apocalyptic number.

11139828480 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 11139828480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21563055360).

11139828480 is an abundant number, since it is smaller than the sum of its proper divisors (31986282240).

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

11139828480 is a wasteful number, since it uses less digits than its factorization.

11139828480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29344 (or 29324 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 11139828480 in words is "eleven billion, one hundred thirty-nine million, eight hundred twenty-eight thousand, four hundred eighty".