11640281310 has 384 divisors, whose sum is σ = 38238151680. Its totient is φ = 2467584000.

The previous prime is 11640281291. The next prime is 11640281339. The reversal of 11640281310 is 1318204611.

It is a happy number.

11640281310 is a `hidden beast` number, since 1 + 1 + 640 + 2 + 8 + 1 + 3 + 10 = 666.

It is a super-2 number, since 2×11640281310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55167105 + ... + 55167315.

It is an arithmetic number, because the mean of its divisors is an integer number (99578520).

Almost surely, 2^11640281310 is an apocalyptic number.

11640281310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11640281310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19119075840).

11640281310 is an abundant number, since it is smaller than the sum of its proper divisors (26597870370).

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

11640281310 is a wasteful number, since it uses less digits than its factorization.

11640281310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 11640281310 its reverse (1318204611), we get a palindrome (12958485921).

The spelling of 11640281310 in words is "eleven billion, six hundred forty million, two hundred eighty-one thousand, three hundred ten".