10290623280 has 240 divisors, whose sum is σ = 37188762624. Its totient is φ = 2347107840.

The previous prime is 10290623267. The next prime is 10290623281. The reversal of 10290623280 is 8232609201.

It is a happy number.

10290623280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (10290623281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10383585 + ... + 10384575.

Almost surely, 2^10290623280 is an apocalyptic number.

10290623280 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 10290623280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18594381312).

10290623280 is an abundant number, since it is smaller than the sum of its proper divisors (26898139344).

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

10290623280 is a wasteful number, since it uses less digits than its factorization.

10290623280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1904 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 10290623280 in words is "ten billion, two hundred ninety million, six hundred twenty-three thousand, two hundred eighty".