11310270382080 has 1728 divisors, whose sum is σ = 43969559961600. Its totient is φ = 2782459330560.

The previous prime is 11310270382057. The next prime is 11310270382087. The reversal of 11310270382080 is 8028307201311.

11310270382080 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 270 + 382 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×11310270382080² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310270382087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143167979481 + ... + 143167979559.

It is an arithmetic number, because the mean of its divisors is an integer number (25445347200).

Almost surely, 2^{11310270382080} is an apocalyptic number.

11310270382080 is a gapful number since it is divisible by the number (10) 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 11310270382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21984779980800).

11310270382080 is an abundant number, since it is smaller than the sum of its proper divisors (32659289579520).

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

11310270382080 is an frugal number, since it uses more digits than its factorization.

11310270382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 11310270382080 its reverse (8028307201311), we get a palindrome (19338577583391).

The spelling of 11310270382080 in words is "eleven trillion, three hundred ten billion, two hundred seventy million, three hundred eighty-two thousand, eighty".