255393545400 has 384 divisors, whose sum is σ = 1006864128000. Its totient is φ = 58288273920.

The previous prime is 255393545377. The next prime is 255393545401. The reversal of 255393545400 is 4545393552.

255393545400 is a `hidden beast` number, since 2 + 5 + 53 + 9 + 3 + 54 + 540 + 0 = 666.

It is a super-3 number, since 3×255393545400³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255393545401) 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, 27173502 + ... + 27182898.

It is an arithmetic number, because the mean of its divisors is an integer number (2622042000).

Almost surely, 2^255393545400 is an apocalyptic number.

255393545400 is a gapful number since it is divisible by the number (20) 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 255393545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503432064000).

255393545400 is an abundant number, since it is smaller than the sum of its proper divisors (751470582600).

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

255393545400 is a wasteful number, since it uses less digits than its factorization.

255393545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148 (or 10133 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 255393545400 in words is "two hundred fifty-five billion, three hundred ninety-three million, five hundred forty-five thousand, four hundred".