11057862445056 has 1152 divisors, whose sum is σ = 40511582092800. Its totient is φ = 2961317560320.

The previous prime is 11057862445043. The next prime is 11057862445057. The reversal of 11057862445056 is 65054426875011.

11057862445056 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 7 + 8 + 624 + 4 + 5 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11057862444993 and 11057862445011.

It is not an unprimeable number, because it can be changed into a prime (11057862445057) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19852535530 + ... + 19852536086.

It is an arithmetic number, because the mean of its divisors is an integer number (35166303900).

Almost surely, 2^{11057862445056} is an apocalyptic number.

11057862445056 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 11057862445056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20255791046400).

11057862445056 is an abundant number, since it is smaller than the sum of its proper divisors (29453719647744).

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

11057862445056 is a wasteful number, since it uses less digits than its factorization.

11057862445056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 11057862445056 in words is "eleven trillion, fifty-seven billion, eight hundred sixty-two million, four hundred forty-five thousand, fifty-six".