11642560634880 has 1120 divisors, whose sum is σ = 47920303309824. Its totient is φ = 2659866771456.

The previous prime is 11642560634849. The next prime is 11642560634909. The reversal of 11642560634880 is 8843606524611.

11642560634880 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 25 + 606 + 3 + 4 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×11642560634880² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5643508729 + ... + 5643510791.

Almost surely, 2^{11642560634880} is an apocalyptic number.

11642560634880 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 11642560634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23960151654912).

11642560634880 is an abundant number, since it is smaller than the sum of its proper divisors (36277742674944).

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

11642560634880 is an frugal number, since it uses more digits than its factorization.

11642560634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2128 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 11642560634880 in words is "eleven trillion, six hundred forty-two billion, five hundred sixty million, six hundred thirty-four thousand, eight hundred eighty".