268511997600 has 2304 divisors, whose sum is σ = 1322915328000. Its totient is φ = 50861260800.

The previous prime is 268511997583. The next prime is 268511997643. The reversal of 268511997600 is 6799115862.

268511997600 is a `hidden beast` number, since 2 + 68 + 511 + 9 + 9 + 7 + 60 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 916423054 + ... + 916423346.

It is an arithmetic number, because the mean of its divisors is an integer number (574182000).

Almost surely, 2^268511997600 is an apocalyptic number.

268511997600 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 268511997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661457664000).

268511997600 is an abundant number, since it is smaller than the sum of its proper divisors (1054403330400).

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

268511997600 is a wasteful number, since it uses less digits than its factorization.

268511997600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 268511997600 in words is "two hundred sixty-eight billion, five hundred eleven million, nine hundred ninety-seven thousand, six hundred".