1155753930240 has 1600 divisors, whose sum is σ = 5318335604736. Its totient is φ = 233161555968.

The previous prime is 1155753930223. The next prime is 1155753930241. The reversal of 1155753930240 is 420393575511.

1155753930240 is a `hidden beast` number, since 1 + 1 + 5 + 575 + 3 + 9 + 30 + 2 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155753930241) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 434003149 + ... + 434005811.

Almost surely, 2^{1155753930240} is an apocalyptic number.

1155753930240 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 1155753930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2659167802368).

1155753930240 is an abundant number, since it is smaller than the sum of its proper divisors (4162581674496).

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

1155753930240 is a wasteful number, since it uses less digits than its factorization.

1155753930240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2741 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 1155753930240 in words is "one trillion, one hundred fifty-five billion, seven hundred fifty-three million, nine hundred thirty thousand, two hundred forty".