10625583360 has 432 divisors, whose sum is σ = 39845736000. Its totient is φ = 2406039552.

The previous prime is 10625583349. The next prime is 10625583403. The reversal of 10625583360 is 6338552601.

It is a super-2 number, since 2×10625583360² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 28035651 + ... + 28036029.

It is an arithmetic number, because the mean of its divisors is an integer number (92235500).

Almost surely, 2^10625583360 is an apocalyptic number.

10625583360 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 10625583360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19922868000).

10625583360 is an abundant number, since it is smaller than the sum of its proper divisors (29220152640).

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

10625583360 is a wasteful number, since it uses less digits than its factorization.

10625583360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The spelling of 10625583360 in words is "ten billion, six hundred twenty-five million, five hundred eighty-three thousand, three hundred sixty".