1126108281600 has 648 divisors, whose sum is σ = 4166976824192. Its totient is φ = 289839513600.

The previous prime is 1126108281593. The next prime is 1126108281667. The reversal of 1126108281600 is 61828016211.

1126108281600 is a `hidden beast` number, since 1 + 1 + 2 + 610 + 8 + 28 + 16 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1030290654 + ... + 1030291746.

Almost surely, 2^{1126108281600} is an apocalyptic number.

1126108281600 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 1126108281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083488412096).

1126108281600 is an abundant number, since it is smaller than the sum of its proper divisors (3040868542592).

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

1126108281600 is a wasteful number, since it uses less digits than its factorization.

1126108281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 1126108281600 in words is "one trillion, one hundred twenty-six billion, one hundred eight million, two hundred eighty-one thousand, six hundred".