1159845765120 has 1568 divisors, whose sum is σ = 4950822021120. Its totient is φ = 255122472960.

The previous prime is 1159845765119. The next prime is 1159845765139. The reversal of 1159845765120 is 215675489511.

1159845765120 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 8 + 457 + 65 + 120 = 666.

It is a super-2 number, since 2×1159845765120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6479585191 + ... + 6479585369.

Almost surely, 2^{1159845765120} is an apocalyptic number.

1159845765120 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 1159845765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475411010560).

1159845765120 is an abundant number, since it is smaller than the sum of its proper divisors (3790976256000).

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

1159845765120 is an frugal number, since it uses more digits than its factorization.

1159845765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 1159845765120 in words is "one trillion, one hundred fifty-nine billion, eight hundred forty-five million, seven hundred sixty-five thousand, one hundred twenty".