11428853760 has 336 divisors, whose sum is σ = 41141875320. Its totient is φ = 3045703680.

The previous prime is 11428853749. The next prime is 11428853767. The reversal of 11428853760 is 6735882411.

11428853760 is a `hidden beast` number, since 11 + 42 + 8 + 8 + 537 + 60 = 666.

It is a super-2 number, since 2×11428853760² (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 not an unprimeable number, because it can be changed into a prime (11428853767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464195 + ... + 7465725.

Almost surely, 2^11428853760 is an apocalyptic number.

11428853760 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 11428853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570937660).

11428853760 is an abundant number, since it is smaller than the sum of its proper divisors (29713021560).

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

11428853760 is an frugal number, since it uses more digits than its factorization.

11428853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1541 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11428853760 in words is "eleven billion, four hundred twenty-eight million, eight hundred fifty-three thousand, seven hundred sixty".