1003835090160 has 960 divisors, whose sum is σ = 4136520960000. Its totient is φ = 213213192192.

The previous prime is 1003835090123. The next prime is 1003835090177. The reversal of 1003835090160 is 610905383001.

It is a happy number.

1003835090160 is a `hidden beast` number, since 10 + 0 + 3 + 83 + 509 + 0 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 669669091 + ... + 669670589.

It is an arithmetic number, because the mean of its divisors is an integer number (4308876000).

Almost surely, 2^{1003835090160} is an apocalyptic number.

1003835090160 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 1003835090160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068260480000).

1003835090160 is an abundant number, since it is smaller than the sum of its proper divisors (3132685869840).

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

1003835090160 is a wasteful number, since it uses less digits than its factorization.

1003835090160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 1003835090160 in words is "one trillion, three billion, eight hundred thirty-five million, ninety thousand, one hundred sixty".