10142608320 has 448 divisors, whose sum is σ = 39092672640. Its totient is φ = 2460450816.

The previous prime is 10142608309. The next prime is 10142608363. The reversal of 10142608320 is 2380624101.

10142608320 is a `hidden beast` number, since 10 + 1 + 42 + 608 + 3 + 2 + 0 = 666.

10142608320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 8198742 + ... + 8199978.

It is an arithmetic number, because the mean of its divisors is an integer number (87260430).

Almost surely, 2^10142608320 is an apocalyptic number.

10142608320 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 10142608320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19546336320).

10142608320 is an abundant number, since it is smaller than the sum of its proper divisors (28950064320).

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

10142608320 is a wasteful number, since it uses less digits than its factorization.

10142608320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 10142608320 in words is "ten billion, one hundred forty-two million, six hundred eight thousand, three hundred twenty".