1126916582400 has 1188 divisors, whose sum is σ = 4868808381528. Its totient is φ = 257511260160.

The previous prime is 1126916582369. The next prime is 1126916582417. The reversal of 1126916582400 is 42856196211.

1126916582400 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 9 + 165 + 82 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 304817352 + ... + 304821048.

Almost surely, 2^{1126916582400} is an apocalyptic number.

1126916582400 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 1126916582400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434404190764).

1126916582400 is an abundant number, since it is smaller than the sum of its proper divisors (3741891799128).

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

1126916582400 is an equidigital number, since it uses as much as digits as its factorization.

1126916582400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3756 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1126916582400 in words is "one trillion, one hundred twenty-six billion, nine hundred sixteen million, five hundred eighty-two thousand, four hundred".