268937625600 has 1152 divisors, whose sum is σ = 1147699250880. Its totient is φ = 61152952320.

The previous prime is 268937625569. The next prime is 268937625601. The reversal of 268937625600 is 6526739862.

268937625600 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 3 + 7 + 6 + 25 + 600 = 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268937625601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1393459104 + ... + 1393459296.

Almost surely, 2^268937625600 is an apocalyptic number.

268937625600 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 268937625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573849625440).

268937625600 is an abundant number, since it is smaller than the sum of its proper divisors (878761625280).

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

268937625600 is an frugal number, since it uses more digits than its factorization.

268937625600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 268937625600 in words is "two hundred sixty-eight billion, nine hundred thirty-seven million, six hundred twenty-five thousand, six hundred".