11006465603540 has 48 divisors (see below), whose sum is σ = 25215327575424. Its totient is φ = 4002269308800.

The previous prime is 11006465603537. The next prime is 11006465603569. The reversal of 11006465603540 is 4530656460011.

It is a super-2 number, since 2×11006465603540² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10846802 + ... + 11818038.

It is an arithmetic number, because the mean of its divisors is an integer number (525319324488).

Almost surely, 2^{11006465603540} is an apocalyptic number.

11006465603540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006465603540 is an abundant number, since it is smaller than the sum of its proper divisors (14208861971884).

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

11006465603540 is a wasteful number, since it uses less digits than its factorization.

11006465603540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022768 (or 1022766 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 11006465603540 in words is "eleven trillion, six billion, four hundred sixty-five million, six hundred three thousand, five hundred forty".