11280165835680 has 1536 divisors, whose sum is σ = 49540571136000. Its totient is φ = 2339100426240.

The previous prime is 11280165835667. The next prime is 11280165835709. The reversal of 11280165835680 is 8653856108211.

11280165835680 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 0 + 1 + 6 + 583 + 56 + 8 + 0 = 666.

It is a super-2 number, since 2×11280165835680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1727698656 + ... + 1727705184.

It is an arithmetic number, because the mean of its divisors is an integer number (32252976000).

Almost surely, 2^{11280165835680} is an apocalyptic number.

11280165835680 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 11280165835680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24770285568000).

11280165835680 is an abundant number, since it is smaller than the sum of its proper divisors (38260405300320).

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

11280165835680 is a wasteful number, since it uses less digits than its factorization.

11280165835680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6707 (or 6693 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

It can be divided in two parts, 1128016 and 5835680, that added together give a palindrome (6963696).

The spelling of 11280165835680 in words is "eleven trillion, two hundred eighty billion, one hundred sixty-five million, eight hundred thirty-five thousand, six hundred eighty".