11272636463340 has 192 divisors, whose sum is σ = 36580298711040. Its totient is φ = 2540353259520.

The previous prime is 11272636463323. The next prime is 11272636463359. The reversal of 11272636463340 is 4336463627211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 11272636463340.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83296930 + ... + 83432150.

It is an arithmetic number, because the mean of its divisors is an integer number (190522389120).

Almost surely, 2^{11272636463340} is an apocalyptic number.

11272636463340 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 11272636463340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18290149355520).

11272636463340 is an abundant number, since it is smaller than the sum of its proper divisors (25307662247700).

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

11272636463340 is a wasteful number, since it uses less digits than its factorization.

11272636463340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138032 (or 138030 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 48.

The spelling of 11272636463340 in words is "eleven trillion, two hundred seventy-two billion, six hundred thirty-six million, four hundred sixty-three thousand, three hundred forty".