11049658560 has 168 divisors, whose sum is σ = 38383531056. Its totient is φ = 2917324800.

The previous prime is 11049658541. The next prime is 11049658579. The reversal of 11049658560 is 6585694011.

11049658560 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 9 + 6 + 585 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (11049658541) and next prime (11049658579).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 271887 + ... + 309873.

Almost surely, 2^11049658560 is an apocalyptic number.

11049658560 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 11049658560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19191765528).

11049658560 is an abundant number, since it is smaller than the sum of its proper divisors (27333872496).

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

11049658560 is a wasteful number, since it uses less digits than its factorization.

11049658560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38111 (or 38098 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

It can be divided in two parts, 1104 and 9658560, that added together give a square (9659664 = 3108²).

The spelling of 11049658560 in words is "eleven billion, forty-nine million, six hundred fifty-eight thousand, five hundred sixty".