1035826691328 has 648 divisors, whose sum is σ = 3550474112640. Its totient is φ = 288495820800.

The previous prime is 1035826691327. The next prime is 1035826691329. The reversal of 1035826691328 is 8231966285301.

1035826691328 is a `hidden beast` number, since 1 + 0 + 3 + 58 + 266 + 9 + 1 + 328 = 666.

It is an interprime number because it is at equal distance from previous prime (1035826691327) and next prime (1035826691329).

It is a super-3 number, since 3×1035826691328³ (a number of 37 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035826691327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1127123253 + ... + 1127124171.

Almost surely, 2^{1035826691328} is an apocalyptic number.

1035826691328 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 1035826691328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775237056320).

1035826691328 is an abundant number, since it is smaller than the sum of its proper divisors (2514647421312).

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

1035826691328 is a wasteful number, since it uses less digits than its factorization.

1035826691328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1035826691328 in words is "one trillion, thirty-five billion, eight hundred twenty-six million, six hundred ninety-one thousand, three hundred twenty-eight".