162601311600 has 1440 divisors, whose sum is σ = 744696336384. Its totient is φ = 33144422400.

The previous prime is 162601311563. The next prime is 162601311623. The reversal of 162601311600 is 6113106261.

162601311600 is a `hidden beast` number, since 1 + 6 + 26 + 0 + 1 + 31 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 274200904 + ... + 274201496.

Almost surely, 2^162601311600 is an apocalyptic number.

162601311600 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 162601311600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372348168192).

162601311600 is an abundant number, since it is smaller than the sum of its proper divisors (582095024784).

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

162601311600 is a wasteful number, since it uses less digits than its factorization.

162601311600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 162601311600 its reverse (6113106261), we get a palindrome (168714417861).

The spelling of 162601311600 in words is "one hundred sixty-two billion, six hundred one million, three hundred eleven thousand, six hundred".