10255534344 has 384 divisors, whose sum is σ = 32479574400. Its totient is φ = 2895360000.

The previous prime is 10255534313. The next prime is 10255534349. The reversal of 10255534344 is 44343555201.

10255534344 is a `hidden beast` number, since 1 + 0 + 25 + 553 + 43 + 44 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10255534299 and 10255534308.

It is not an unprimeable number, because it can be changed into a prime (10255534349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101539894 + ... + 101539994.

It is an arithmetic number, because the mean of its divisors is an integer number (84582225).

Almost surely, 2^10255534344 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 10255534344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16239787200).

10255534344 is an abundant number, since it is smaller than the sum of its proper divisors (22224040056).

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

10255534344 is a wasteful number, since it uses less digits than its factorization.

10255534344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 10255534344 in words is "ten billion, two hundred fifty-five million, five hundred thirty-four thousand, three hundred forty-four".