11200141680 has 480 divisors, whose sum is σ = 44245793088. Its totient is φ = 2322432000.

The previous prime is 11200141669. The next prime is 11200141691. The reversal of 11200141680 is 8614100211.

It is an interprime number because it is at equal distance from previous prime (11200141669) and next prime (11200141691).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11200141680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9325080 + ... + 9326280.

Almost surely, 2^11200141680 is an apocalyptic number.

11200141680 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 11200141680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22122896544).

11200141680 is an abundant number, since it is smaller than the sum of its proper divisors (33045651408).

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

11200141680 is a wasteful number, since it uses less digits than its factorization.

11200141680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 11200141680 its reverse (8614100211), we get a palindrome (19814241891).

The spelling of 11200141680 in words is "eleven billion, two hundred million, one hundred forty-one thousand, six hundred eighty".