11048005542600 has 144 divisors (see below), whose sum is σ = 39956953463700. Its totient is φ = 2719509050880.

The previous prime is 11048005542599. The next prime is 11048005542601. The reversal of 11048005542600 is 624550084011.

It is a happy number.

11048005542600 is a `hidden beast` number, since 1 + 1 + 0 + 4 + 8 + 0 + 0 + 5 + 5 + 42 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (11048005542599) and next prime (11048005542601).

It can be written as a sum of positive squares in 6 ways, for example, as 974986407396 + 10073019135204 = 987414^2 + 3173802^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (11048005542601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 236045095 + ... + 236091894.

Almost surely, 2^{11048005542600} is an apocalyptic number.

11048005542600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11048005542600 is an abundant number, since it is smaller than the sum of its proper divisors (28908947921100).

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

11048005542600 is a wasteful number, since it uses less digits than its factorization.

11048005542600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472137024 (or 472137012 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 11048005542600 in words is "eleven trillion, forty-eight billion, five million, five hundred forty-two thousand, six hundred".