11287066310352 has 400 divisors, whose sum is σ = 37871514312000. Its totient is φ = 3218389832448.

The previous prime is 11287066310323. The next prime is 11287066310369. The reversal of 11287066310352 is 25301366078211.

It is a happy number.

11287066310352 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 7 + 0 + 6 + 631 + 0 + 3 + 5 + 2 = 666.

It is a super-2 number, since 2×11287066310352² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11287066310298 and 11287066310307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 527940399 + ... + 527961777.

It is an arithmetic number, because the mean of its divisors is an integer number (94678785780).

Almost surely, 2^{11287066310352} is an apocalyptic number.

11287066310352 is a gapful number since it is divisible by the number (12) 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 11287066310352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18935757156000).

11287066310352 is an abundant number, since it is smaller than the sum of its proper divisors (26584448001648).

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

11287066310352 is an equidigital number, since it uses as much as digits as its factorization.

11287066310352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21933 (or 21900 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11287066310352 in words is "eleven trillion, two hundred eighty-seven billion, sixty-six million, three hundred ten thousand, three hundred fifty-two".