1126331300160 has 448 divisors, whose sum is σ = 4341964757760. Its totient is φ = 272590479360.

The previous prime is 1126331300119. The next prime is 1126331300161. The reversal of 1126331300160 is 610031336211.

1126331300160 is a `hidden beast` number, since 1 + 1 + 2 + 633 + 13 + 0 + 0 + 16 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126331300161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58249854 + ... + 58269186.

It is an arithmetic number, because the mean of its divisors is an integer number (9691885620).

Almost surely, 2^{1126331300160} is an apocalyptic number.

1126331300160 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 1126331300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2170982378880).

1126331300160 is an abundant number, since it is smaller than the sum of its proper divisors (3215633457600).

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

1126331300160 is a wasteful number, since it uses less digits than its factorization.

1126331300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19983 (or 19967 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 1126331300160 its reverse (610031336211), we get a palindrome (1736362636371).

The spelling of 1126331300160 in words is "one trillion, one hundred twenty-six billion, three hundred thirty-one million, three hundred thousand, one hundred sixty".