11300757251055 has 16 divisors (see below), whose sum is σ = 18867351237120. Its totient is φ = 5765023988768.

The previous prime is 11300757251041. The next prime is 11300757251071. The reversal of 11300757251055 is 55015275700311.

It is a cyclic number.

It is not a de Polignac number, because 11300757251055 - 2⁴ = 11300757251039 is a prime.

It is a super-2 number, since 2×11300757251055² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11300757250998 and 11300757251016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16377908715 + ... + 16377909404.

It is an arithmetic number, because the mean of its divisors is an integer number (1179209452320).

Almost surely, 2^{11300757251055} is an apocalyptic number.

11300757251055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

11300757251055 is a deficient number, since it is larger than the sum of its proper divisors (7566593986065).

11300757251055 is a wasteful number, since it uses less digits than its factorization.

11300757251055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32755818150.

The product of its (nonzero) digits is 183750, while the sum is 42.

The spelling of 11300757251055 in words is "eleven trillion, three hundred billion, seven hundred fifty-seven million, two hundred fifty-one thousand, fifty-five".