1155057960784 has 80 divisors (see below), whose sum is σ = 2755225459840. Its totient is φ = 456803919360.

The previous prime is 1155057960761. The next prime is 1155057960787. The reversal of 1155057960784 is 4870697505511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155057960787) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4623394 + ... + 4866814.

It is an arithmetic number, because the mean of its divisors is an integer number (34440318248).

Almost surely, 2^{1155057960784} is an apocalyptic number.

1155057960784 is a gapful number since it is divisible by the number (14) 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 1155057960784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377612729920).

1155057960784 is an abundant number, since it is smaller than the sum of its proper divisors (1600167499056).

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

1155057960784 is a wasteful number, since it uses less digits than its factorization.

1155057960784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246708 (or 246702 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 58.

The spelling of 1155057960784 in words is "one trillion, one hundred fifty-five billion, fifty-seven million, nine hundred sixty thousand, seven hundred eighty-four".