268971454080 has 1152 divisors, whose sum is σ = 1187274516480. Its totient is φ = 54766927872.

The previous prime is 268971454067. The next prime is 268971454093. The reversal of 268971454080 is 80454179862.

It is a happy number.

268971454080 is a `hidden beast` number, since 2 + 6 + 8 + 9 + 7 + 14 + 540 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (268971454067) and next prime (268971454093).

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 247443297 + ... + 247444383.

It is an arithmetic number, because the mean of its divisors is an integer number (1030620240).

Almost surely, 2^268971454080 is an apocalyptic number.

268971454080 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 268971454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593637258240).

268971454080 is an abundant number, since it is smaller than the sum of its proper divisors (918303062400).

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

268971454080 is a wasteful number, since it uses less digits than its factorization.

268971454080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 268971454080 in words is "two hundred sixty-eight billion, nine hundred seventy-one million, four hundred fifty-four thousand, eighty".