1155040812828 has 192 divisors, whose sum is σ = 3446906552320. Its totient is φ = 327647312064.

The previous prime is 1155040812823. The next prime is 1155040812841. The reversal of 1155040812828 is 8282180405511.

1155040812828 is a `hidden beast` number, since 1 + 1 + 550 + 4 + 0 + 8 + 12 + 82 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155040812823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 133944525 + ... + 133953147.

Almost surely, 2^{1155040812828} is an apocalyptic number.

1155040812828 is a gapful number since it is divisible by the number (18) 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 1155040812828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723453276160).

1155040812828 is an abundant number, since it is smaller than the sum of its proper divisors (2291865739492).

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

1155040812828 is a wasteful number, since it uses less digits than its factorization.

1155040812828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9893 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 1155040812828 in words is "one trillion, one hundred fifty-five billion, forty million, eight hundred twelve thousand, eight hundred twenty-eight".