268172353800 has 480 divisors, whose sum is σ = 1006126228800. Its totient is φ = 65809221120.

The previous prime is 268172353793. The next prime is 268172353837. The reversal of 268172353800 is 8353271862.

268172353800 is a `hidden beast` number, since 26 + 8 + 17 + 235 + 380 + 0 = 666.

It is a super-2 number, since 2×268172353800² (a number of 24 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 75603627 + ... + 75607173.

It is an arithmetic number, because the mean of its divisors is an integer number (2096096310).

Almost surely, 2^268172353800 is an apocalyptic number.

268172353800 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 268172353800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503063114400).

268172353800 is an abundant number, since it is smaller than the sum of its proper divisors (737953875000).

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

268172353800 is a wasteful number, since it uses less digits than its factorization.

268172353800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 268172353800 in words is "two hundred sixty-eight billion, one hundred seventy-two million, three hundred fifty-three thousand, eight hundred".