1026889133600 has 72 divisors (see below), whose sum is σ = 2734792493328. Its totient is φ = 373414227200.

The previous prime is 1026889133591. The next prime is 1026889133657. The reversal of 1026889133600 is 63319886201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58337174 + ... + 58354773.

It is an arithmetic number, because the mean of its divisors is an integer number (37983229074).

Almost surely, 2^{1026889133600} is an apocalyptic number.

1026889133600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1026889133600 is an abundant number, since it is smaller than the sum of its proper divisors (1707903359728).

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

1026889133600 is a wasteful number, since it uses less digits than its factorization.

1026889133600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116691978 (or 116691965 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The spelling of 1026889133600 in words is "one trillion, twenty-six billion, eight hundred eighty-nine million, one hundred thirty-three thousand, six hundred".