11011516878240 has 144 divisors (see below), whose sum is σ = 38872553265000. Its totient is φ = 2835149162496.

The previous prime is 11011516878217. The next prime is 11011516878259. The reversal of 11011516878240 is 4287861511011.

It is a happy number.

11011516878240 is a `hidden beast` number, since 1 + 1 + 0 + 11 + 516 + 8 + 7 + 82 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8346251664144 + 2665265214096 = 2888988^2 + 1632564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 131801115 + ... + 131884634.

Almost surely, 2^{11011516878240} is an apocalyptic number.

11011516878240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11011516878240 is an abundant number, since it is smaller than the sum of its proper divisors (27861036386760).

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

11011516878240 is a wasteful number, since it uses less digits than its factorization.

11011516878240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263685799 (or 263685788 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 11011516878240 in words is "eleven trillion, eleven billion, five hundred sixteen million, eight hundred seventy-eight thousand, two hundred forty".