1035250089120 has 1152 divisors, whose sum is σ = 4094209566720. Its totient is φ = 236250685440.

The previous prime is 1035250089119. The next prime is 1035250089121. The reversal of 1035250089120 is 219800525301.

1035250089120 is a `hidden beast` number, since 1 + 0 + 3 + 52 + 500 + 89 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (1035250089119) and next prime (1035250089121).

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

It is not an unprimeable number, because it can be changed into a prime (1035250089121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2108452075 + ... + 2108452565.

It is an arithmetic number, because the mean of its divisors is an integer number (3554001360).

Almost surely, 2^{1035250089120} is an apocalyptic number.

1035250089120 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 1035250089120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047104783360).

1035250089120 is an abundant number, since it is smaller than the sum of its proper divisors (3058959477600).

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

1035250089120 is a wasteful number, since it uses less digits than its factorization.

1035250089120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 1035250089120 in words is "one trillion, thirty-five billion, two hundred fifty million, eighty-nine thousand, one hundred twenty".