248103820800 has 1440 divisors, whose sum is σ = 1062892908000. Its totient is φ = 56446156800.

The previous prime is 248103820793. The next prime is 248103820831. The reversal of 248103820800 is 8028301842.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 710899026 + ... + 710899374.

It is an arithmetic number, because the mean of its divisors is an integer number (738120075).

Almost surely, 2^248103820800 is an apocalyptic number.

248103820800 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 248103820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531446454000).

248103820800 is an abundant number, since it is smaller than the sum of its proper divisors (814789087200).

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

248103820800 is a wasteful number, since it uses less digits than its factorization.

248103820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 248103820800 in words is "two hundred forty-eight billion, one hundred three million, eight hundred twenty thousand, eight hundred".