248557693260 has 384 divisors, whose sum is σ = 775216189440. Its totient is φ = 59222016000.

The previous prime is 248557693247. The next prime is 248557693271. The reversal of 248557693260 is 62396755842.

It is a self number, because there is not a number n which added to its sum of digits gives 248557693260.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 809634027 + ... + 809634333.

It is an arithmetic number, because the mean of its divisors is an integer number (2018792160).

Almost surely, 2^248557693260 is an apocalyptic number.

248557693260 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 248557693260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387608094720).

248557693260 is an abundant number, since it is smaller than the sum of its proper divisors (526658496180).

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

248557693260 is a wasteful number, since it uses less digits than its factorization.

248557693260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 57.

The spelling of 248557693260 in words is "two hundred forty-eight billion, five hundred fifty-seven million, six hundred ninety-three thousand, two hundred sixty".