10275955584 has 128 divisors (see below), whose sum is σ = 28314057600. Its totient is φ = 3298154496.

The previous prime is 10275955559. The next prime is 10275955603. The reversal of 10275955584 is 48555957201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4932207 + ... + 4934289.

It is an arithmetic number, because the mean of its divisors is an integer number (221203575).

Almost surely, 2^10275955584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10275955584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14157028800).

10275955584 is an abundant number, since it is smaller than the sum of its proper divisors (18038102016).

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

10275955584 is a wasteful number, since it uses less digits than its factorization.

10275955584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 51.

The spelling of 10275955584 in words is "ten billion, two hundred seventy-five million, nine hundred fifty-five thousand, five hundred eighty-four".