10254000960 has 336 divisors, whose sum is σ = 41700297600. Its totient is φ = 2262822912.

The previous prime is 10254000943. The next prime is 10254000973. The reversal of 10254000960 is 6900045201.

It is a tau number, because it is divible by the number of its divisors (336).

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, 575871 + ... + 593409.

Almost surely, 2^10254000960 is an apocalyptic number.

10254000960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10254000960 is the 58464-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10254000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20850148800).

10254000960 is an abundant number, since it is smaller than the sum of its proper divisors (31446296640).

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

10254000960 is a wasteful number, since it uses less digits than its factorization.

10254000960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17598 (or 17585 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10254000960 in words is "ten billion, two hundred fifty-four million, nine hundred sixty", and thus it is an aban number.