11065357510240 has 48 divisors (see below), whose sum is σ = 28518444133200. Its totient is φ = 4023766366720.

The previous prime is 11065357510219. The next prime is 11065357510247. The reversal of 11065357510240 is 4201575356011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11065357510193 and 11065357510202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11065357510247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3143565715 + ... + 3143569234.

It is an arithmetic number, because the mean of its divisors is an integer number (594134252775).

Almost surely, 2^{11065357510240} is an apocalyptic number.

11065357510240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11065357510240 is an abundant number, since it is smaller than the sum of its proper divisors (17453086622960).

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

11065357510240 is a wasteful number, since it uses less digits than its factorization.

11065357510240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6287134975 (or 6287134967 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 40.

The spelling of 11065357510240 in words is "eleven trillion, sixty-five billion, three hundred fifty-seven million, five hundred ten thousand, two hundred forty".