268550553600 has 720 divisors, whose sum is σ = 1127918780800. Its totient is φ = 61365288960.

The previous prime is 268550553577. The next prime is 268550553619. The reversal of 268550553600 is 6355055862.

268550553600 is a `hidden beast` number, since 2 + 6 + 85 + 505 + 5 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77412666 + ... + 77416134.

Almost surely, 2^268550553600 is an apocalyptic number.

268550553600 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 268550553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563959390400).

268550553600 is an abundant number, since it is smaller than the sum of its proper divisors (859368227200).

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

268550553600 is an equidigital number, since it uses as much as digits as its factorization.

268550553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 268550553600 in words is "two hundred sixty-eight billion, five hundred fifty million, five hundred fifty-three thousand, six hundred".