1205601431160 has 384 divisors, whose sum is σ = 4329750205440. Its totient is φ = 267636096000.

The previous prime is 1205601431129. The next prime is 1205601431161. The reversal of 1205601431160 is 611341065021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1205601431161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36186510 + ... + 36219810.

It is an arithmetic number, because the mean of its divisors is an integer number (11275391160).

Almost surely, 2^{1205601431160} is an apocalyptic number.

1205601431160 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 1205601431160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2164875102720).

1205601431160 is an abundant number, since it is smaller than the sum of its proper divisors (3124148774280).

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

1205601431160 is a wasteful number, since it uses less digits than its factorization.

1205601431160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33507 (or 33496 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 1205601431160 its reverse (611341065021), we get a palindrome (1816942496181).

The spelling of 1205601431160 in words is "one trillion, two hundred five billion, six hundred one million, four hundred thirty-one thousand, one hundred sixty".