248209920000 has 1820 divisors, whose sum is σ = 1118737264480. Its totient is φ = 53747712000.

The previous prime is 248209919999. The next prime is 248209920031. The reversal of 248209920000 is 29902842.

248209920000 is a `hidden beast` number, since 248 + 209 + 9 + 200 + 0 + 0 = 666.

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 139 ways as a sum of consecutive naturals, for example, 13063679991 + ... + 13063680009.

Almost surely, 2^248209920000 is an apocalyptic number.

248209920000 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 248209920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559368632240).

248209920000 is an abundant number, since it is smaller than the sum of its proper divisors (870527344480).

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

248209920000 is an frugal number, since it uses more digits than its factorization.

248209920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 248209920000 in words is "two hundred forty-eight billion, two hundred nine million, nine hundred twenty thousand".