1035612563328 has 576 divisors, whose sum is σ = 3682926439920. Its totient is φ = 288655073280.

The previous prime is 1035612563303. The next prime is 1035612563387. The reversal of 1035612563328 is 8233652165301.

1035612563328 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 6 + 1 + 2 + 5 + 633 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×1035612563328³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 62479650 + ... + 62496222.

Almost surely, 2^{1035612563328} is an apocalyptic number.

1035612563328 is a gapful number since it is divisible by the number (18) 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 1035612563328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841463219960).

1035612563328 is an abundant number, since it is smaller than the sum of its proper divisors (2647313876592).

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

1035612563328 is an equidigital number, since it uses as much as digits as its factorization.

1035612563328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16657 (or 16626 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1035612563328 in words is "one trillion, thirty-five billion, six hundred twelve million, five hundred sixty-three thousand, three hundred twenty-eight".