11057459040 has 240 divisors, whose sum is σ = 39687777360. Its totient is φ = 2898478080.

The previous prime is 11057459033. The next prime is 11057459053. The reversal of 11057459040 is 4095475011.

11057459040 is a `hidden beast` number, since 1 + 10 + 57 + 4 + 590 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 11057458986 and 11057459004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 757410 + ... + 771870.

It is an arithmetic number, because the mean of its divisors is an integer number (165365739).

Almost surely, 2^11057459040 is an apocalyptic number.

11057459040 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 11057459040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19843888680).

11057459040 is an abundant number, since it is smaller than the sum of its proper divisors (28630318320).

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

11057459040 is a wasteful number, since it uses less digits than its factorization.

11057459040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14547 (or 14530 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 11057459040 in words is "eleven billion, fifty-seven million, four hundred fifty-nine thousand, forty".