248727465720 has 256 divisors, whose sum is σ = 867930163200. Its totient is φ = 63238855680.

The previous prime is 248727465713. The next prime is 248727465751. The reversal of 248727465720 is 27564727842.

248727465720 is a `hidden beast` number, since 2 + 4 + 8 + 7 + 27 + 46 + 572 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7758925 + ... + 7790915.

It is an arithmetic number, because the mean of its divisors is an integer number (3390352200).

Almost surely, 2^248727465720 is an apocalyptic number.

248727465720 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 248727465720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433965081600).

248727465720 is an abundant number, since it is smaller than the sum of its proper divisors (619202697480).

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

248727465720 is a wasteful number, since it uses less digits than its factorization.

248727465720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32347 (or 32337 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 248727465720 in words is "two hundred forty-eight billion, seven hundred twenty-seven million, four hundred sixty-five thousand, seven hundred twenty".