11055446413002 has 192 divisors, whose sum is σ = 25632552591360. Its totient is φ = 3436066943232.

The previous prime is 11055446412953. The next prime is 11055446413013. The reversal of 11055446413002 is 20031464455011.

11055446413002 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 5 + 4 + 4 + 641 + 3 + 0 + 0 + 2 = 666.

11055446413002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11055446413002³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5297290003 + ... + 5297292089.

It is an arithmetic number, because the mean of its divisors is an integer number (133502878080).

Almost surely, 2^{11055446413002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11055446413002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12816276295680).

11055446413002 is an abundant number, since it is smaller than the sum of its proper divisors (14577106178358).

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

11055446413002 is a wasteful number, since it uses less digits than its factorization.

11055446413002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3897 (or 3894 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11055446413002 in words is "eleven trillion, fifty-five billion, four hundred forty-six million, four hundred thirteen thousand, two".