248278867200 has 2160 divisors, whose sum is σ = 1193605409920. Its totient is φ = 49447895040.

The previous prime is 248278867159. The next prime is 248278867201. The reversal of 248278867200 is 2768872842.

248278867200 is a `hidden beast` number, since 2 + 482 + 7 + 88 + 67 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248278867201) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 896313462 + ... + 896313738.

Almost surely, 2^248278867200 is an apocalyptic number.

248278867200 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 248278867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596802704960).

248278867200 is an abundant number, since it is smaller than the sum of its proper divisors (945326542720).

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

248278867200 is a wasteful number, since it uses less digits than its factorization.

248278867200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 248278867200 in words is "two hundred forty-eight billion, two hundred seventy-eight million, eight hundred sixty-seven thousand, two hundred".