11642880000 has 300 divisors, whose sum is σ = 38898361040. Its totient is φ = 3096576000.

The previous prime is 11642879999. The next prime is 11642880001. The reversal of 11642880000 is 8824611.

It is an interprime number because it is at equal distance from previous prime (11642879999) and next prime (11642880001).

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 11642880000.

It is not an unprimeable number, because it can be changed into a prime (11642880001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30719811 + ... + 30720189.

Almost surely, 2^11642880000 is an apocalyptic number.

11642880000 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 11642880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19449180520).

11642880000 is an abundant number, since it is smaller than the sum of its proper divisors (27255481040).

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

11642880000 is an frugal number, since it uses more digits than its factorization.

11642880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 11642880000 in words is "eleven billion, six hundred forty-two million, eight hundred eighty thousand".