242586881856000 has 6400 divisors, whose sum is σ = 1096247915642880. Its totient is φ = 52672757760000.

The previous prime is 242586881855933. The next prime is 242586881856001. The reversal of 242586881856000 is 658188685242.

242586881856000 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 8 + 6 + 8 + 8 + 18 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6400).

It is not an unprimeable number, because it can be changed into a prime (242586881856001) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 1910132927937 + ... + 1910132928063.

Almost surely, 2^{242586881856000} is an apocalyptic number.

242586881856000 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 242586881856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548123957821440).

242586881856000 is an abundant number, since it is smaller than the sum of its proper divisors (853661033786880).

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

242586881856000 is a wasteful number, since it uses less digits than its factorization.

242586881856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 63.

The spelling of 242586881856000 in words is "two hundred forty-two trillion, five hundred eighty-six billion, eight hundred eighty-one million, eight hundred fifty-six thousand".