1151018597760 has 128 divisors (see below), whose sum is σ = 3670521212160. Its totient is φ = 306800302080.

The previous prime is 1151018597747. The next prime is 1151018597761. The reversal of 1151018597760 is 677958101511.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151018597761) 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, 4172925 + ... + 4440195.

It is an arithmetic number, because the mean of its divisors is an integer number (28675946970).

Almost surely, 2^{1151018597760} is an apocalyptic number.

1151018597760 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 1151018597760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835260606080).

1151018597760 is an abundant number, since it is smaller than the sum of its proper divisors (2519502614400).

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

1151018597760 is a wasteful number, since it uses less digits than its factorization.

1151018597760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269536 (or 269524 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 51.

The spelling of 1151018597760 in words is "one trillion, one hundred fifty-one billion, eighteen million, five hundred ninety-seven thousand, seven hundred sixty".