10026027760 has 80 divisors (see below), whose sum is σ = 26694720000. Its totient is φ = 3430510848.

The previous prime is 10026027703. The next prime is 10026027761. The reversal of 10026027760 is 6772062001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10026027761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261501 + ... + 297379.

It is an arithmetic number, because the mean of its divisors is an integer number (333684000).

Almost surely, 2^10026027760 is an apocalyptic number.

10026027760 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 10026027760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13347360000).

10026027760 is an abundant number, since it is smaller than the sum of its proper divisors (16668692240).

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

10026027760 is a wasteful number, since it uses less digits than its factorization.

10026027760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36398 (or 36392 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

Adding to 10026027760 its reverse (6772062001), we get a palindrome (16798089761).

The spelling of 10026027760 in words is "ten billion, twenty-six million, twenty-seven thousand, seven hundred sixty".