11054501006040 has 192 divisors, whose sum is σ = 36649528194240. Its totient is φ = 2888728427520.

The previous prime is 11054501005997. The next prime is 11054501006077. The reversal of 11054501006040 is 4060010545011.

11054501006040 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 4 + 50 + 1 + 0 + 0 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11054501005995 and 11054501006013.

It is a congruent number.

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, 15350850 + ... + 16054830.

It is an arithmetic number, because the mean of its divisors is an integer number (190882959345).

Almost surely, 2^{11054501006040} is an apocalyptic number.

11054501006040 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 11054501006040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18324764097120).

11054501006040 is an abundant number, since it is smaller than the sum of its proper divisors (25595027188200).

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

11054501006040 is a wasteful number, since it uses less digits than its factorization.

11054501006040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704874 (or 704867 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11054501006040 in words is "eleven trillion, fifty-four billion, five hundred one million, six thousand, forty".