1027297899264 has 576 divisors, whose sum is σ = 3639010185216. Its totient is φ = 249559252992.

The previous prime is 1027297899263. The next prime is 1027297899301. The reversal of 1027297899264 is 4629987927201.

It is a junction number, because it is equal to n+sod(n) for n = 1027297899195 and 1027297899204.

It is not an unprimeable number, because it can be changed into a prime (1027297899263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55831314 + ... + 55849710.

It is an arithmetic number, because the mean of its divisors is an integer number (6317726016).

Almost surely, 2^{1027297899264} is an apocalyptic number.

1027297899264 is a gapful number since it is divisible by the number (14) 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 1027297899264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819505092608).

1027297899264 is an abundant number, since it is smaller than the sum of its proper divisors (2611712285952).

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

1027297899264 is a wasteful number, since it uses less digits than its factorization.

1027297899264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18500 (or 18486 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 66.

The spelling of 1027297899264 in words is "one trillion, twenty-seven billion, two hundred ninety-seven million, eight hundred ninety-nine thousand, two hundred sixty-four".