255946521600 has 1980 divisors, whose sum is σ = 1207949684040. Its totient is φ = 52951449600.

The previous prime is 255946521599. The next prime is 255946521601. The reversal of 255946521600 is 6125649552.

255946521600 is a `hidden beast` number, since 2 + 5 + 594 + 6 + 52 + 1 + 6 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (255946521599) and next prime (255946521601).

It is a tau number, because it is divible by the number of its divisors (1980).

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 (255946521601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1117670286 + ... + 1117670514.

It is an arithmetic number, because the mean of its divisors is an integer number (610075598).

Almost surely, 2^255946521600 is an apocalyptic number.

255946521600 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 255946521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603974842020).

255946521600 is an abundant number, since it is smaller than the sum of its proper divisors (952003162440).

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

255946521600 is a wasteful number, since it uses less digits than its factorization.

255946521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 255946521600 in words is "two hundred fifty-five billion, nine hundred forty-six million, five hundred twenty-one thousand, six hundred".