11627537340320 has 144 divisors (see below), whose sum is σ = 30231723924360. Its totient is φ = 4222963261440.

The previous prime is 11627537340313. The next prime is 11627537340371. The reversal of 11627537340320 is 2304373572611.

It can be written as a sum of positive squares in 4 ways, for example, as 9039956249104 + 2587581091216 = 3006652^2 + 1608596^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15291044 + ... + 16033436.

Almost surely, 2^{11627537340320} is an apocalyptic number.

11627537340320 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 11627537340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15115861962180).

11627537340320 is an abundant number, since it is smaller than the sum of its proper divisors (18604186584040).

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

11627537340320 is a wasteful number, since it uses less digits than its factorization.

11627537340320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743239 (or 743220 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 44.

The spelling of 11627537340320 in words is "eleven trillion, six hundred twenty-seven billion, five hundred thirty-seven million, three hundred forty thousand, three hundred twenty".