268549948800 has 1152 divisors, whose sum is σ = 1152416196000. Its totient is φ = 60894167040.

The previous prime is 268549948691. The next prime is 268549948811. The reversal of 268549948800 is 8849945862.

268549948800 is a `hidden beast` number, since 2 + 6 + 8 + 549 + 9 + 4 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 969494262 + ... + 969494538.

Almost surely, 2^268549948800 is an apocalyptic number.

268549948800 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 268549948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576208098000).

268549948800 is an abundant number, since it is smaller than the sum of its proper divisors (883866247200).

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

268549948800 is a wasteful number, since it uses less digits than its factorization.

268549948800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 268549948800 in words is "two hundred sixty-eight billion, five hundred forty-nine million, nine hundred forty-eight thousand, eight hundred".