255923142545400 has 768 divisors, whose sum is σ = 907729078763520. Its totient is φ = 59141446848000.

The previous prime is 255923142545363. The next prime is 255923142545437. The reversal of 255923142545400 is 4545241329552.

It is an interprime number because it is at equal distance from previous prime (255923142545363) and next prime (255923142545437).

It is a super-2 number, since 2×255923142545400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13173570487 + ... + 13173589913.

It is an arithmetic number, because the mean of its divisors is an integer number (1181938904640).

Almost surely, 2^{255923142545400} is an apocalyptic number.

255923142545400 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 255923142545400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453864539381760).

255923142545400 is an abundant number, since it is smaller than the sum of its proper divisors (651805936218120).

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

255923142545400 is a wasteful number, since it uses less digits than its factorization.

255923142545400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19617 (or 19546 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 255923142545400 in words is "two hundred fifty-five trillion, nine hundred twenty-three billion, one hundred forty-two million, five hundred forty-five thousand, four hundred".