11640255000 has 640 divisors, whose sum is σ = 43186176000. Its totient is φ = 2583360000.

The previous prime is 11640254971. The next prime is 11640255001. The reversal of 11640255000 is 55204611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11640255001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 147344961 + ... + 147345039.

It is an arithmetic number, because the mean of its divisors is an integer number (67478400).

Almost surely, 2^11640255000 is an apocalyptic number.

11640255000 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 11640255000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21593088000).

11640255000 is an abundant number, since it is smaller than the sum of its proper divisors (31545921000).

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

11640255000 is a wasteful number, since it uses less digits than its factorization.

11640255000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 11640255000 its reverse (55204611), we get a palindrome (11695459611).

The spelling of 11640255000 in words is "eleven billion, six hundred forty million, two hundred fifty-five thousand".