11012042895840 has 576 divisors, whose sum is σ = 43272133632000. Its totient is φ = 2498010550272.

The previous prime is 11012042895829. The next prime is 11012042895869. The reversal of 11012042895840 is 4859824021011.

11012042895840 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 20 + 42 + 8 + 9 + 584 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2341490929 + ... + 2341495631.

It is an arithmetic number, because the mean of its divisors is an integer number (75125232000).

Almost surely, 2^{11012042895840} is an apocalyptic number.

11012042895840 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 11012042895840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21636066816000).

11012042895840 is an abundant number, since it is smaller than the sum of its proper divisors (32260090736160).

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

11012042895840 is a wasteful number, since it uses less digits than its factorization.

11012042895840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6439 (or 6428 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11012042895840 in words is "eleven trillion, twelve billion, forty-two million, eight hundred ninety-five thousand, eight hundred forty".