11640988800 has 864 divisors, whose sum is σ = 49414755780. Its totient is φ = 2601123840.

The previous prime is 11640988787. The next prime is 11640988813. The reversal of 11640988800 is 888904611.

It is an interprime number because it is at equal distance from previous prime (11640988787) and next prime (11640988813).

It can be written as a sum of positive squares in 6 ways, for example, as 1378488384 + 10262500416 = 37128^2 + 101304^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 103017544 + ... + 103017656.

Almost surely, 2^11640988800 is an apocalyptic number.

11640988800 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 11640988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24707377890).

11640988800 is an abundant number, since it is smaller than the sum of its proper divisors (37773766980).

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

11640988800 is a wasteful number, since it uses less digits than its factorization.

11640988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

It can be divided in two parts, 116409 and 88800, that added together give a square (205209 = 453²).

The spelling of 11640988800 in words is "eleven billion, six hundred forty million, nine hundred eighty-eight thousand, eight hundred".