1162385265600 has 504 divisors, whose sum is σ = 4453029519120. Its totient is φ = 285878845440.

The previous prime is 1162385265583. The next prime is 1162385265619. The reversal of 1162385265600 is 65625832611.

1162385265600 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 3 + 85 + 2 + 6 + 560 + 0 = 666.

It is a super-2 number, since 2×1162385265600² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317676571 + ... + 317680229.

It is an arithmetic number, because the mean of its divisors is an integer number (8835376030).

Almost surely, 2^{1162385265600} is an apocalyptic number.

1162385265600 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 1162385265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2226514759560).

1162385265600 is an abundant number, since it is smaller than the sum of its proper divisors (3290644253520).

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

1162385265600 is a wasteful number, since it uses less digits than its factorization.

1162385265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5397 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1162385265600 in words is "one trillion, one hundred sixty-two billion, three hundred eighty-five million, two hundred sixty-five thousand, six hundred".