1125790275456 has 1536 divisors, whose sum is σ = 4378727808000. Its totient is φ = 285310771200.

The previous prime is 1125790275433. The next prime is 1125790275461. The reversal of 1125790275456 is 6545720975211.

1125790275456 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 7 + 90 + 2 + 7 + 545 + 6 = 666.

It is a super-2 number, since 2×1125790275456² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6219835686 + ... + 6219835866.

It is an arithmetic number, because the mean of its divisors is an integer number (2850734250).

Almost surely, 2^{1125790275456} is an apocalyptic number.

1125790275456 is a gapful number since it is divisible by the number (16) 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 1125790275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2189363904000).

1125790275456 is an abundant number, since it is smaller than the sum of its proper divisors (3252937532544).

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

1125790275456 is an equidigital number, since it uses as much as digits as its factorization.

1125790275456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 1125790275456 in words is "one trillion, one hundred twenty-five billion, seven hundred ninety million, two hundred seventy-five thousand, four hundred fifty-six".