248790204000 has 672 divisors, whose sum is σ = 987147199584. Its totient is φ = 61231334400.

The previous prime is 248790203989. The next prime is 248790204001. The reversal of 248790204000 is 402097842.

248790204000 is a `hidden beast` number, since 248 + 7 + 9 + 0 + 2 + 0 + 400 + 0 = 666.

248790204000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248790204001) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 37904719 + ... + 37911281.

It is an arithmetic number, because the mean of its divisors is an integer number (1468969047).

Almost surely, 2^248790204000 is an apocalyptic number.

248790204000 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 248790204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493573599792).

248790204000 is an abundant number, since it is smaller than the sum of its proper divisors (738356995584).

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

248790204000 is an equidigital number, since it uses as much as digits as its factorization.

248790204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6619 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 248790204000 in words is "two hundred forty-eight billion, seven hundred ninety million, two hundred four thousand".