1125895372800 has 960 divisors, whose sum is σ = 4306371696000. Its totient is φ = 256691404800.

The previous prime is 1125895372793. The next prime is 1125895372807. The reversal of 1125895372800 is 82735985211.

It is an interprime number because it is at equal distance from previous prime (1125895372793) and next prime (1125895372807).

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125895372807) 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, 8218214332 + ... + 8218214468.

It is an arithmetic number, because the mean of its divisors is an integer number (4485803850).

Almost surely, 2^{1125895372800} is an apocalyptic number.

1125895372800 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 1125895372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153185848000).

1125895372800 is an abundant number, since it is smaller than the sum of its proper divisors (3180476323200).

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

1125895372800 is an equidigital number, since it uses as much as digits as its factorization.

1125895372800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 51.

The spelling of 1125895372800 in words is "one trillion, one hundred twenty-five billion, eight hundred ninety-five million, three hundred seventy-two thousand, eight hundred".