1155155306256 has 240 divisors, whose sum is σ = 3749554298880. Its totient is φ = 325167575040.

The previous prime is 1155155306233. The next prime is 1155155306267. The reversal of 1155155306256 is 6526035515511.

1155155306256 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 1 + 5 + 530 + 62 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25186161 + ... + 25231983.

It is an arithmetic number, because the mean of its divisors is an integer number (15623142912).

Almost surely, 2^{1155155306256} is an apocalyptic number.

1155155306256 is a gapful number since it is divisible by the number (16) 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 1155155306256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874777149440).

1155155306256 is an abundant number, since it is smaller than the sum of its proper divisors (2594398992624).

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

1155155306256 is a wasteful number, since it uses less digits than its factorization.

1155155306256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46214 (or 46205 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 45.

The spelling of 1155155306256 in words is "one trillion, one hundred fifty-five billion, one hundred fifty-five million, three hundred six thousand, two hundred fifty-six".