255698985600 has 1728 divisors, whose sum is σ = 1082692578240. Its totient is φ = 59268464640.

The previous prime is 255698985551. The next prime is 255698985613. The reversal of 255698985600 is 6589896552.

255698985600 is a `hidden beast` number, since 2 + 5 + 5 + 69 + 8 + 9 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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, 8817206386 + ... + 8817206414.

It is an arithmetic number, because the mean of its divisors is an integer number (626558205).

Almost surely, 2^255698985600 is an apocalyptic number.

255698985600 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 255698985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541346289120).

255698985600 is an abundant number, since it is smaller than the sum of its proper divisors (826993592640).

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

255698985600 is a wasteful number, since it uses less digits than its factorization.

255698985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 255698985600 in words is "two hundred fifty-five billion, six hundred ninety-eight million, nine hundred eighty-five thousand, six hundred".