10025328960 has 224 divisors, whose sum is σ = 35437754880. Its totient is φ = 2668087296.

The previous prime is 10025328931. The next prime is 10025328977. The reversal of 10025328960 is 6982352001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6332329 + ... + 6333911.

Almost surely, 2^10025328960 is an apocalyptic number.

10025328960 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 10025328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17718877440).

10025328960 is an abundant number, since it is smaller than the sum of its proper divisors (25412425920).

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

10025328960 is a wasteful number, since it uses less digits than its factorization.

10025328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2326 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 10025328960 in words is "ten billion, twenty-five million, three hundred twenty-eight thousand, nine hundred sixty".