1155030982560 has 1728 divisors, whose sum is σ = 5129531027712. Its totient is φ = 239284813824.

The previous prime is 1155030982537. The next prime is 1155030982597. The reversal of 1155030982560 is 652890305511.

1155030982560 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 0 + 3 + 0 + 9 + 82 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10221513064 + ... + 10221513176.

It is an arithmetic number, because the mean of its divisors is an integer number (2968478604).

Almost surely, 2^{1155030982560} is an apocalyptic number.

1155030982560 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 1155030982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564765513856).

1155030982560 is an abundant number, since it is smaller than the sum of its proper divisors (3974500045152).

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

1155030982560 is a wasteful number, since it uses less digits than its factorization.

1155030982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 1155030982560 in words is "one trillion, one hundred fifty-five billion, thirty million, nine hundred eighty-two thousand, five hundred sixty".