268627590000 has 2000 divisors, whose sum is σ = 1248683293440. Its totient is φ = 54120960000.

The previous prime is 268627589987. The next prime is 268627590001. The reversal of 268627590000 is 95726862.

It is a tau number, because it is divible by the number of its divisors (2000).

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 (268627590001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 3679829964 + ... + 3679830036.

Almost surely, 2^268627590000 is an apocalyptic number.

268627590000 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 268627590000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624341646720).

268627590000 is an abundant number, since it is smaller than the sum of its proper divisors (980055703440).

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

268627590000 is a wasteful number, since it uses less digits than its factorization.

268627590000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 268627590000 in words is "two hundred sixty-eight billion, six hundred twenty-seven million, five hundred ninety thousand".