1027682200320 has 576 divisors, whose sum is σ = 3491851603968. Its totient is φ = 257163264000.

The previous prime is 1027682200319. The next prime is 1027682200381. The reversal of 1027682200320 is 230022867201.

It is a super-2 number, since 2×1027682200320² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941962975 + ... + 941964065.

It is an arithmetic number, because the mean of its divisors is an integer number (6062242368).

Almost surely, 2^{1027682200320} is an apocalyptic number.

1027682200320 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 1027682200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745925801984).

1027682200320 is an abundant number, since it is smaller than the sum of its proper divisors (2464169403648).

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

1027682200320 is a wasteful number, since it uses less digits than its factorization.

1027682200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 1027682200320 in words is "one trillion, twenty-seven billion, six hundred eighty-two million, two hundred thousand, three hundred twenty".