1164859987200 has 2592 divisors, whose sum is σ = 5198836753152. Its totient is φ = 227082240000.

The previous prime is 1164859987169. The next prime is 1164859987237. The reversal of 1164859987200 is 27899584611.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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, 11533267150 + ... + 11533267250.

It is an arithmetic number, because the mean of its divisors is an integer number (2005724056).

Almost surely, 2^{1164859987200} is an apocalyptic number.

1164859987200 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 1164859987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599418376576).

1164859987200 is an abundant number, since it is smaller than the sum of its proper divisors (4033976765952).

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

1164859987200 is a wasteful number, since it uses less digits than its factorization.

1164859987200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 1164859987200 in words is "one trillion, one hundred sixty-four billion, eight hundred fifty-nine million, nine hundred eighty-seven thousand, two hundred".