10255505400 has 288 divisors, whose sum is σ = 39496579200. Its totient is φ = 2336083200.

The previous prime is 10255505329. The next prime is 10255505419. The reversal of 10255505400 is 450555201.

10255505400 is a `hidden beast` number, since 1 + 0 + 255 + 5 + 0 + 5 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4169371 + ... + 4171829.

It is an arithmetic number, because the mean of its divisors is an integer number (137140900).

Almost surely, 2^10255505400 is an apocalyptic number.

10255505400 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 10255505400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19748289600).

10255505400 is an abundant number, since it is smaller than the sum of its proper divisors (29241073800).

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

10255505400 is a wasteful number, since it uses less digits than its factorization.

10255505400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2819 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 27.

The spelling of 10255505400 in words is "ten billion, two hundred fifty-five million, five hundred five thousand, four hundred".