11626686720 has 648 divisors, whose sum is σ = 46649803200. Its totient is φ = 2664161280.

The previous prime is 11626686707. The next prime is 11626686727. The reversal of 11626686720 is 2768662611.

11626686720 is a `hidden beast` number, since 11 + 626 + 6 + 8 + 6 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11626686727) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26484261 + ... + 26484699.

Almost surely, 2^11626686720 is an apocalyptic number.

11626686720 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 11626686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23324901600).

11626686720 is an abundant number, since it is smaller than the sum of its proper divisors (35023116480).

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

11626686720 is a wasteful number, since it uses less digits than its factorization.

11626686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11626686720 in words is "eleven billion, six hundred twenty-six million, six hundred eighty-six thousand, seven hundred twenty".