11485169280 has 1024 divisors, whose sum is σ = 47500992000. Its totient is φ = 2601123840.

The previous prime is 11485169273. The next prime is 11485169287. The reversal of 11485169280 is 8296158411.

It is a happy number.

11485169280 is a `hidden beast` number, since 1 + 1 + 48 + 516 + 92 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11485169273) and next prime (11485169287).

It is a super-2 number, since 2×11485169280² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (11485169287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 267096939 + ... + 267096981.

Almost surely, 2^11485169280 is an apocalyptic number.

11485169280 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 11485169280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23750496000).

11485169280 is an abundant number, since it is smaller than the sum of its proper divisors (36015822720).

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

11485169280 is a wasteful number, since it uses less digits than its factorization.

11485169280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11485169280 in words is "eleven billion, four hundred eighty-five million, one hundred sixty-nine thousand, two hundred eighty".