1164131959552 has 72 divisors (see below), whose sum is σ = 2425709069280. Its totient is φ = 556538019840.

The previous prime is 1164131959457. The next prime is 1164131959579. The reversal of 1164131959552 is 2559591314611.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1164131959552.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15323902 + ... + 15399682.

It is an arithmetic number, because the mean of its divisors is an integer number (33690403740).

Almost surely, 2^{1164131959552} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1164131959552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212854534640).

1164131959552 is an abundant number, since it is smaller than the sum of its proper divisors (1261577109728).

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

1164131959552 is an equidigital number, since it uses as much as digits as its factorization.

1164131959552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78429 (or 78415 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 52.

The spelling of 1164131959552 in words is "one trillion, one hundred sixty-four billion, one hundred thirty-one million, nine hundred fifty-nine thousand, five hundred fifty-two".