268883124000 has 96 divisors (see below), whose sum is σ = 880861153536. Its totient is φ = 71702163200.

The previous prime is 268883123989. The next prime is 268883124017. The reversal of 268883124000 is 421388862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11191464 + ... + 11215463.

It is an arithmetic number, because the mean of its divisors is an integer number (9175637016).

Almost surely, 2^268883124000 is an apocalyptic number.

268883124000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268883124000 is an abundant number, since it is smaller than the sum of its proper divisors (611978029536).

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

268883124000 is a wasteful number, since it uses less digits than its factorization.

268883124000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22406955 (or 22406937 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The spelling of 268883124000 in words is "two hundred sixty-eight billion, eight hundred eighty-three million, one hundred twenty-four thousand".