255716484710400 has 4104 divisors, whose sum is σ = 1153275665789520. Its totient is φ = 55934567055360.

The previous prime is 255716484710399. The next prime is 255716484710411. The reversal of 255716484710400 is 4017484617552.

It is a happy number.

255716484710400 is a `hidden beast` number, since 2 + 5 + 5 + 7 + 164 + 8 + 4 + 71 + 0 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2262977740744 + ... + 2262977740856.

It is an arithmetic number, because the mean of its divisors is an integer number (281012589130).

Almost surely, 2^{255716484710400} is an apocalyptic number.

255716484710400 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 255716484710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576637832894760).

255716484710400 is an abundant number, since it is smaller than the sum of its proper divisors (897559181079120).

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

255716484710400 is an frugal number, since it uses more digits than its factorization.

255716484710400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 255716484710400 in words is "two hundred fifty-five trillion, seven hundred sixteen billion, four hundred eighty-four million, seven hundred ten thousand, four hundred".