247861509360 has 160 divisors (see below), whose sum is σ = 795747735552. Its totient is φ = 63755320320.

The previous prime is 247861509359. The next prime is 247861509373. The reversal of 247861509360 is 63905168742.

It is a super-2 number, since 2×247861509360² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2229822 + ... + 2338338.

It is a 1-persistent number, because it is pandigital, but 2⋅247861509360 = 495723018720 is not.

Almost surely, 2^247861509360 is an apocalyptic number.

247861509360 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 247861509360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397873867776).

247861509360 is an abundant number, since it is smaller than the sum of its proper divisors (547886226192).

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

247861509360 is a wasteful number, since it uses less digits than its factorization.

247861509360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108871 (or 108865 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 247861509360 in words is "two hundred forty-seven billion, eight hundred sixty-one million, five hundred nine thousand, three hundred sixty".