248865565697280 has 432 divisors, whose sum is σ = 984682813855104. Its totient is φ = 56847320432640.

The previous prime is 248865565697279. The next prime is 248865565697291. The reversal of 248865565697280 is 82796565568842.

248865565697280 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 6 + 556 + 56 + 9 + 7 + 2 + 8 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 248865565697280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125703222 + ... + 127667658.

Almost surely, 2^{248865565697280} is an apocalyptic number.

248865565697280 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 248865565697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492341406927552).

248865565697280 is an abundant number, since it is smaller than the sum of its proper divisors (735817248157824).

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

248865565697280 is a wasteful number, since it uses less digits than its factorization.

248865565697280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966042 (or 1966025 counting only the distinct ones).

The product of its (nonzero) digits is 13934592000, while the sum is 81.

The spelling of 248865565697280 in words is "two hundred forty-eight trillion, eight hundred sixty-five billion, five hundred sixty-five million, six hundred ninety-seven thousand, two hundred eighty".