1155383792640 has 1760 divisors, whose sum is σ = 5229056980224. Its totient is φ = 236967690240.

The previous prime is 1155383792617. The next prime is 1155383792669. The reversal of 1155383792640 is 462973835511.

It is a happy number.

1155383792640 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 3 + 8 + 379 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3097543494 + ... + 3097543866.

It is a 1-persistent number, because it is pandigital, but 2⋅1155383792640 = 2310767585280 is not.

Almost surely, 2^{1155383792640} is an apocalyptic number.

1155383792640 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 1155383792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2614528490112).

1155383792640 is an abundant number, since it is smaller than the sum of its proper divisors (4073673187584).

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

1155383792640 is a wasteful number, since it uses less digits than its factorization.

1155383792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1155383792640 in words is "one trillion, one hundred fifty-five billion, three hundred eighty-three million, seven hundred ninety-two thousand, six hundred forty".