268157465187840 has 1280 divisors, whose sum is σ = 1038027761971200. Its totient is φ = 65394291769344.

The previous prime is 268157465187827. The next prime is 268157465187893. The reversal of 268157465187840 is 48781564751862.

268157465187840 is a `hidden beast` number, since 2 + 6 + 8 + 1 + 5 + 7 + 465 + 1 + 87 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×268157465187840² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 4505833924 + ... + 4505893436.

It is an arithmetic number, because the mean of its divisors is an integer number (810959189040).

Almost surely, 2^{268157465187840} is an apocalyptic number.

268157465187840 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 268157465187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519013880985600).

268157465187840 is an abundant number, since it is smaller than the sum of its proper divisors (769870296783360).

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

268157465187840 is a wasteful number, since it uses less digits than its factorization.

268157465187840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59684 (or 59662 counting only the distinct ones).

The product of its (nonzero) digits is 722534400, while the sum is 72.

The spelling of 268157465187840 in words is "two hundred sixty-eight trillion, one hundred fifty-seven billion, four hundred sixty-five million, one hundred eighty-seven thousand, eight hundred forty".