10059250560 has 384 divisors, whose sum is σ = 35367528960. Its totient is φ = 2426941440.

The previous prime is 10059250549. The next prime is 10059250573. The reversal of 10059250560 is 6505295001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15941445 + ... + 15942075.

It is an arithmetic number, because the mean of its divisors is an integer number (92102940).

Almost surely, 2^10059250560 is an apocalyptic number.

10059250560 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 10059250560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17683764480).

10059250560 is an abundant number, since it is smaller than the sum of its proper divisors (25308278400).

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

10059250560 is a wasteful number, since it uses less digits than its factorization.

10059250560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 33.

The spelling of 10059250560 in words is "ten billion, fifty-nine million, two hundred fifty thousand, five hundred sixty".