1035765325056 has 288 divisors, whose sum is σ = 3456093312000. Its totient is φ = 267524259840.

The previous prime is 1035765325051. The next prime is 1035765325073. The reversal of 1035765325056 is 6505235675301.

It is a super-3 number, since 3×1035765325056³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1035765324996 and 1035765325014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035765325051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10536420 + ... + 10634268.

It is an arithmetic number, because the mean of its divisors is an integer number (12000324000).

Almost surely, 2^{1035765325056} is an apocalyptic number.

1035765325056 is a gapful number since it is divisible by the number (16) 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 1035765325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728046656000).

1035765325056 is an abundant number, since it is smaller than the sum of its proper divisors (2420327986944).

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

1035765325056 is a wasteful number, since it uses less digits than its factorization.

1035765325056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98065 (or 98051 counting only the distinct ones).

The product of its (nonzero) digits is 2835000, while the sum is 48.

The spelling of 1035765325056 in words is "one trillion, thirty-five billion, seven hundred sixty-five million, three hundred twenty-five thousand, fifty-six".