247981032960000 has 1040 divisors, whose sum is σ = 875973120473088. Its totient is φ = 62263296000000.

The previous prime is 247981032959929. The next prime is 247981032960049. The reversal of 247981032960000 is 69230189742.

It is a super-2 number, since 2×247981032960000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8808945925 + ... + 8808974075.

Almost surely, 2^{247981032960000} is an apocalyptic number.

247981032960000 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 247981032960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437986560236544).

247981032960000 is an abundant number, since it is smaller than the sum of its proper divisors (627992087513088).

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

247981032960000 is an equidigital number, since it uses as much as digits as its factorization.

247981032960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28266 (or 28229 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 247981032960000 in words is "two hundred forty-seven trillion, nine hundred eighty-one billion, thirty-two million, nine hundred sixty thousand".