1027094618880 has 2160 divisors, whose sum is σ = 4420965964800. Its totient is φ = 226636185600.

The previous prime is 1027094618833. The next prime is 1027094618897. The reversal of 1027094618880 is 888164907201.

1027094618880 is a `hidden beast` number, since 1 + 0 + 27 + 0 + 9 + 461 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×1027094618880² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 7389169851 + ... + 7389169989.

Almost surely, 2^{1027094618880} is an apocalyptic number.

1027094618880 is a gapful number since it is divisible by the number (10) 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 1027094618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2210482982400).

1027094618880 is an abundant number, since it is smaller than the sum of its proper divisors (3393871345920).

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

1027094618880 is a wasteful number, since it uses less digits than its factorization.

1027094618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 1027094618880 in words is "one trillion, twenty-seven billion, ninety-four million, six hundred eighteen thousand, eight hundred eighty".