248665697280 has 1760 divisors, whose sum is σ = 1198408780800. Its totient is φ = 47616491520.

The previous prime is 248665697261. The next prime is 248665697321. The reversal of 248665697280 is 82796566842.

248665697280 is a `hidden beast` number, since 2 + 4 + 8 + 66 + 569 + 7 + 2 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 415134421 + ... + 415135019.

It is an arithmetic number, because the mean of its divisors is an integer number (680914080).

Almost surely, 2^248665697280 is an apocalyptic number.

248665697280 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 248665697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599204390400).

248665697280 is an abundant number, since it is smaller than the sum of its proper divisors (949743083520).

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

248665697280 is a wasteful number, since it uses less digits than its factorization.

248665697280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 248665697280 in words is "two hundred forty-eight billion, six hundred sixty-five million, six hundred ninety-seven thousand, two hundred eighty".