245808737280 has 264 divisors, whose sum is σ = 859276428192. Its totient is φ = 64967540736.

The previous prime is 245808737263. The next prime is 245808737287. The reversal of 245808737280 is 82737808542.

245808737280 is a `hidden beast` number, since 2 + 4 + 580 + 8 + 7 + 37 + 28 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (245808737287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5183437 + ... + 5230643.

Almost surely, 2^245808737280 is an apocalyptic number.

245808737280 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 245808737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429638214096).

245808737280 is an abundant number, since it is smaller than the sum of its proper divisors (613467690912).

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

245808737280 is a wasteful number, since it uses less digits than its factorization.

245808737280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47351 (or 47330 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 245808737280 in words is "two hundred forty-five billion, eight hundred eight million, seven hundred thirty-seven thousand, two hundred eighty".