11000010001056 has 48 divisors (see below), whose sum is σ = 28875388518144. Its totient is φ = 3666623998464.

The previous prime is 11000010001051. The next prime is 11000010001061. The reversal of 11000010001056 is 65010001000011.

It is an interprime number because it is at equal distance from previous prime (11000010001051) and next prime (11000010001061).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11000010001056² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11000010001051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7454481 + ... + 8807343.

It is an arithmetic number, because the mean of its divisors is an integer number (601570594128).

Almost surely, 2^{11000010001056} is an apocalyptic number.

11000010001056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11000010001056 is an abundant number, since it is smaller than the sum of its proper divisors (17875378517088).

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

11000010001056 is a wasteful number, since it uses less digits than its factorization.

11000010001056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1437573 (or 1437565 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 11000010001056 its reverse (65010001000011), we get a palindrome (76010011001067).

The spelling of 11000010001056 in words is "eleven trillion, ten million, one thousand, fifty-six".