10078430688 has 288 divisors, whose sum is σ = 31248322560. Its totient is φ = 3069480960.

The previous prime is 10078430683. The next prime is 10078430689. The reversal of 10078430688 is 88603487001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10078430683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27461481 + ... + 27461847.

It is an arithmetic number, because the mean of its divisors is an integer number (108501120).

Almost surely, 2^10078430688 is an apocalyptic number.

10078430688 is a gapful number since it is divisible by the number (18) 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 10078430688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624161280).

10078430688 is an abundant number, since it is smaller than the sum of its proper divisors (21169891872).

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

10078430688 is a wasteful number, since it uses less digits than its factorization.

10078430688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 10078430688 in words is "ten billion, seventy-eight million, four hundred thirty thousand, six hundred eighty-eight".