1155434981760 has 384 divisors, whose sum is σ = 4101508625760. Its totient is φ = 299509678080.

The previous prime is 1155434981741. The next prime is 1155434981773. The reversal of 1155434981760 is 671894345511.

1155434981760 is a `hidden beast` number, since 1 + 1 + 5 + 543 + 4 + 98 + 1 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1155434981697 and 1155434981706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330973615 + ... + 330977105.

Almost surely, 2^{1155434981760} is an apocalyptic number.

1155434981760 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 1155434981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050754312880).

1155434981760 is an abundant number, since it is smaller than the sum of its proper divisors (2946073644000).

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

1155434981760 is a wasteful number, since it uses less digits than its factorization.

1155434981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5106 (or 5091 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1155434981760 in words is "one trillion, one hundred fifty-five billion, four hundred thirty-four million, nine hundred eighty-one thousand, seven hundred sixty".