10255956480 has 1280 divisors, whose sum is σ = 47516958720. Its totient is φ = 2034892800.

The previous prime is 10255956467. The next prime is 10255956499. The reversal of 10255956480 is 8465955201.

10255956480 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 9 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218211817 + ... + 218211863.

It is an arithmetic number, because the mean of its divisors is an integer number (37122624).

Almost surely, 2^10255956480 is an apocalyptic number.

10255956480 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 10255956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23758479360).

10255956480 is an abundant number, since it is smaller than the sum of its proper divisors (37261002240).

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

10255956480 is a wasteful number, since it uses less digits than its factorization.

10255956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 10255956480 in words is "ten billion, two hundred fifty-five million, nine hundred fifty-six thousand, four hundred eighty".