1027258800352 has 96 divisors (see below), whose sum is σ = 2162922144768. Its totient is φ = 478559533056.

The previous prime is 1027258800341. The next prime is 1027258800377. The reversal of 1027258800352 is 2530088527201.

It is a junction number, because it is equal to n+sod(n) for n = 1027258800299 and 1027258800308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94698993 + ... + 94709839.

It is an arithmetic number, because the mean of its divisors is an integer number (22530439008).

Almost surely, 2^{1027258800352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1027258800352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081461072384).

1027258800352 is an abundant number, since it is smaller than the sum of its proper divisors (1135663344416).

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

1027258800352 is a wasteful number, since it uses less digits than its factorization.

1027258800352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12608 (or 12600 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 1027258800352 in words is "one trillion, twenty-seven billion, two hundred fifty-eight million, eight hundred thousand, three hundred fifty-two".