1027240853568 has 252 divisors, whose sum is σ = 2876196425904. Its totient is φ = 323554291200.

The previous prime is 1027240853557. The next prime is 1027240853593. The reversal of 1027240853568 is 8653580427201.

It is a super-2 number, since 2×1027240853568² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1027240853568.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 341161183 + ... + 341164193.

Almost surely, 2^{1027240853568} 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 1027240853568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438098212952).

1027240853568 is an abundant number, since it is smaller than the sum of its proper divisors (1848955572336).

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

1027240853568 is an equidigital number, since it uses as much as digits as its factorization.

1027240853568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3174 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 1027240853568 in words is "one trillion, twenty-seven billion, two hundred forty million, eight hundred fifty-three thousand, five hundred sixty-eight".