248261794560 has 1152 divisors, whose sum is σ = 1010946048000. Its totient is φ = 57187565568.

The previous prime is 248261794553. The next prime is 248261794567. The reversal of 248261794560 is 65497162842.

248261794560 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 6 + 1 + 79 + 4 + 560 = 666.

248261794560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (248261794553) and next prime (248261794567).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a junction number, because it is equal to n+sod(n) for n = 248261794497 and 248261794506.

It is not an unprimeable number, because it can be changed into a prime (248261794567) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1084112526 + ... + 1084112754.

Almost surely, 2^248261794560 is an apocalyptic number.

248261794560 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 248261794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505473024000).

248261794560 is an abundant number, since it is smaller than the sum of its proper divisors (762684253440).

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

248261794560 is a wasteful number, since it uses less digits than its factorization.

248261794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 248261794560 in words is "two hundred forty-eight billion, two hundred sixty-one million, seven hundred ninety-four thousand, five hundred sixty".