11056353506016 has 384 divisors, whose sum is σ = 37857081507840. Its totient is φ = 2741869412352.

The previous prime is 11056353505949. The next prime is 11056353506021. The reversal of 11056353506016 is 61060535365011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161398300 + ... + 161466788.

It is an arithmetic number, because the mean of its divisors is an integer number (98586149760).

Almost surely, 2^{11056353506016} is an apocalyptic number.

11056353506016 is a gapful number since it is divisible by the number (16) 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 11056353506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928540753920).

11056353506016 is an abundant number, since it is smaller than the sum of its proper divisors (26800728001824).

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

11056353506016 is a wasteful number, since it uses less digits than its factorization.

11056353506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69626 (or 69618 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The spelling of 11056353506016 in words is "eleven trillion, fifty-six billion, three hundred fifty-three million, five hundred six thousand, sixteen".