10270090688 has 224 divisors, whose sum is σ = 25218127872. Its totient is φ = 4085452800.

The previous prime is 10270090687. The next prime is 10270090693. The reversal of 10270090688 is 88609007201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10270090681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15036395 + ... + 15037077.

It is an arithmetic number, because the mean of its divisors is an integer number (112580928).

Almost surely, 2^10270090688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10270090688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609063936).

10270090688 is an abundant number, since it is smaller than the sum of its proper divisors (14948037184).

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

10270090688 is a wasteful number, since it uses less digits than its factorization.

10270090688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 41.

Adding to 10270090688 its reverse (88609007201), we get a palindrome (98879097889).

The spelling of 10270090688 in words is "ten billion, two hundred seventy million, ninety thousand, six hundred eighty-eight".