11485594961280 has 384 divisors, whose sum is σ = 44436139207200. Its totient is φ = 2709132410880.

The previous prime is 11485594961273. The next prime is 11485594961341. The reversal of 11485594961280 is 8216949558411.

11485594961280 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 5 + 5 + 9 + 4 + 9 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11485594961280² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105345 + ... + 4793984.

Almost surely, 2^{11485594961280} is an apocalyptic number.

11485594961280 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 11485594961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22218069603600).

11485594961280 is an abundant number, since it is smaller than the sum of its proper divisors (32950544245920).

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

11485594961280 is a wasteful number, since it uses less digits than its factorization.

11485594961280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4899402 (or 4899387 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 11485594961280 in words is "eleven trillion, four hundred eighty-five billion, five hundred ninety-four million, nine hundred sixty-one thousand, two hundred eighty".