11040465566610 has 96 divisors (see below), whose sum is σ = 28907981622000. Its totient is φ = 2923352999424.

The previous prime is 11040465566573. The next prime is 11040465566629. The reversal of 11040465566610 is 1666556404011.

It can be written as a sum of positive squares in 8 ways, for example, as 4866378644169 + 6174086922441 = 2205987^2 + 2484771^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20262016 + ... + 20799764.

Almost surely, 2^{11040465566610} is an apocalyptic number.

11040465566610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11040465566610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14453990811000).

11040465566610 is an abundant number, since it is smaller than the sum of its proper divisors (17867516055390).

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

11040465566610 is a wasteful number, since it uses less digits than its factorization.

11040465566610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539372 (or 539369 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 11040465566610 in words is "eleven trillion, forty billion, four hundred sixty-five million, five hundred sixty-six thousand, six hundred ten".