1035730200960 has 2304 divisors, whose sum is σ = 4799759328000. Its totient is φ = 203389304832.

The previous prime is 1035730200943. The next prime is 1035730200977. The reversal of 1035730200960 is 690020375301.

1035730200960 is a `hidden beast` number, since 1 + 0 + 3 + 573 + 0 + 20 + 0 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1035730200943) and next prime (1035730200977).

It is a super-3 number, since 3×1035730200960³ (a number of 37 digits) contains 333 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5786202151 + ... + 5786202329.

It is an arithmetic number, because the mean of its divisors is an integer number (2083228875).

Almost surely, 2^{1035730200960} is an apocalyptic number.

1035730200960 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 1035730200960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2399879664000).

1035730200960 is an abundant number, since it is smaller than the sum of its proper divisors (3764029127040).

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

1035730200960 is a wasteful number, since it uses less digits than its factorization.

1035730200960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 1035730200960 in words is "one trillion, thirty-five billion, seven hundred thirty million, two hundred thousand, nine hundred sixty".