1035845890560 has 960 divisors, whose sum is σ = 4000526449920. Its totient is φ = 246045081600.

The previous prime is 1035845890559. The next prime is 1035845890561. The reversal of 1035845890560 is 650985485301.

1035845890560 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 8 + 4 + 589 + 0 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1035845890559) and next prime (1035845890561).

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

It is a super-3 number, since 3×1035845890560³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1035845890497 and 1035845890506.

It is not an unprimeable number, because it can be changed into a prime (1035845890561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1673417931 + ... + 1673418549.

It is an arithmetic number, because the mean of its divisors is an integer number (4167215052).

Almost surely, 2^{1035845890560} is an apocalyptic number.

1035845890560 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 1035845890560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000263224960).

1035845890560 is an abundant number, since it is smaller than the sum of its proper divisors (2964680559360).

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

1035845890560 is a wasteful number, since it uses less digits than its factorization.

1035845890560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 54.

The spelling of 1035845890560 in words is "one trillion, thirty-five billion, eight hundred forty-five million, eight hundred ninety thousand, five hundred sixty".