268305016381920 has 768 divisors, whose sum is σ = 1131227596800000. Its totient is φ = 58020843718656.

The previous prime is 268305016381903. The next prime is 268305016381931. The reversal of 268305016381920 is 29183610503862.

268305016381920 is a `hidden beast` number, since 2 + 6 + 8 + 30 + 501 + 6 + 3 + 81 + 9 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 426583831 + ... + 427212329.

It is an arithmetic number, because the mean of its divisors is an integer number (1472952600000).

Almost surely, 2^{268305016381920} is an apocalyptic number.

268305016381920 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 268305016381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565613798400000).

268305016381920 is an abundant number, since it is smaller than the sum of its proper divisors (862922580418080).

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

268305016381920 is a wasteful number, since it uses less digits than its factorization.

268305016381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629292 (or 629278 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 268305016381920 in words is "two hundred sixty-eight trillion, three hundred five billion, sixteen million, three hundred eighty-one thousand, nine hundred twenty".