1155806310672 has 400 divisors, whose sum is σ = 3831371026560. Its totient is φ = 333432889344.

The previous prime is 1155806310649. The next prime is 1155806310707. The reversal of 1155806310672 is 2760136085511.

1155806310672 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 8 + 0 + 631 + 0 + 6 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31032253 + ... + 31069475.

Almost surely, 2^{1155806310672} is an apocalyptic number.

1155806310672 is a gapful number since it is divisible by the number (12) 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 1155806310672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915685513280).

1155806310672 is an abundant number, since it is smaller than the sum of its proper divisors (2675564715888).

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

1155806310672 is a wasteful number, since it uses less digits than its factorization.

1155806310672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37372 (or 37357 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 1155806310672 in words is "one trillion, one hundred fifty-five billion, eight hundred six million, three hundred ten thousand, six hundred seventy-two".