11054510040 has 128 divisors (see below), whose sum is σ = 38134172160. Its totient is φ = 2511212544.

The previous prime is 11054510039. The next prime is 11054510111. The reversal of 11054510040 is 4001545011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11054509989 and 11054510016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96552 + ... + 177288.

It is an arithmetic number, because the mean of its divisors is an integer number (297923220).

Almost surely, 2^11054510040 is an apocalyptic number.

11054510040 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 11054510040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19067086080).

11054510040 is an abundant number, since it is smaller than the sum of its proper divisors (27079662120).

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

11054510040 is a wasteful number, since it uses less digits than its factorization.

11054510040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80921 (or 80917 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The spelling of 11054510040 in words is "eleven billion, fifty-four million, five hundred ten thousand, forty".