1027949698080 has 384 divisors, whose sum is σ = 3725066741760. Its totient is φ = 264478556160.

The previous prime is 1027949698073. The next prime is 1027949698081. The reversal of 1027949698080 is 808969497201.

1027949698080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1027949697999 and 1027949698017.

It is not an unprimeable number, because it can be changed into a prime (1027949698081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45119652 + ... + 45142428.

It is an arithmetic number, because the mean of its divisors is an integer number (9700694640).

Almost surely, 2^{1027949698080} is an apocalyptic number.

1027949698080 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 1027949698080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862533370880).

1027949698080 is an abundant number, since it is smaller than the sum of its proper divisors (2697117043680).

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

1027949698080 is a wasteful number, since it uses less digits than its factorization.

1027949698080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23169 (or 23155 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 1027949698080 in words is "one trillion, twenty-seven billion, nine hundred forty-nine million, six hundred ninety-eight thousand, eighty".