1159936799616 has 1152 divisors, whose sum is σ = 4285897077600. Its totient is φ = 307849199616.

The previous prime is 1159936799611. The next prime is 1159936799657. The reversal of 1159936799616 is 6169976399511.

1159936799616 is a `hidden beast` number, since 11 + 599 + 3 + 6 + 7 + 9 + 9 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1159936799611) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6704836906 + ... + 6704837078.

Almost surely, 2^{1159936799616} is an apocalyptic number.

1159936799616 is a gapful number since it is divisible by the number (16) 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 1159936799616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142948538800).

1159936799616 is an abundant number, since it is smaller than the sum of its proper divisors (3125960277984).

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

1159936799616 is a wasteful number, since it uses less digits than its factorization.

1159936799616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 339 counting only the distinct ones).

The product of its digits is 148803480, while the sum is 72.

The spelling of 1159936799616 in words is "one trillion, one hundred fifty-nine billion, nine hundred thirty-six million, seven hundred ninety-nine thousand, six hundred sixteen".