255470716800 has 768 divisors, whose sum is σ = 1059952992000. Its totient is φ = 59570380800.

The previous prime is 255470716789. The next prime is 255470716811. The reversal of 255470716800 is 8617074552.

255470716800 is a `hidden beast` number, since 2 + 55 + 470 + 71 + 68 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (255470716789) and next prime (255470716811).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21334815 + ... + 21346785.

It is an arithmetic number, because the mean of its divisors is an integer number (1380147125).

Almost surely, 2^255470716800 is an apocalyptic number.

255470716800 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 255470716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529976496000).

255470716800 is an abundant number, since it is smaller than the sum of its proper divisors (804482275200).

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

255470716800 is a wasteful number, since it uses less digits than its factorization.

255470716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12036 (or 12013 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 255470716800 in words is "two hundred fifty-five billion, four hundred seventy million, seven hundred sixteen thousand, eight hundred".