1126287659520 has 480 divisors, whose sum is σ = 4143874775040. Its totient is φ = 293011292160.

The previous prime is 1126287659491. The next prime is 1126287659527. The reversal of 1126287659520 is 259567826211.

1126287659520 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 28 + 7 + 6 + 595 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1126287659527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25483201 + ... + 25527359.

It is an arithmetic number, because the mean of its divisors is an integer number (8633072448).

Almost surely, 2^{1126287659520} is an apocalyptic number.

1126287659520 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 1126287659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071937387520).

1126287659520 is an abundant number, since it is smaller than the sum of its proper divisors (3017587115520).

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

1126287659520 is an frugal number, since it uses more digits than its factorization.

1126287659520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44238 (or 44210 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 1126287659520 in words is "one trillion, one hundred twenty-six billion, two hundred eighty-seven million, six hundred fifty-nine thousand, five hundred twenty".