245385786240 has 384 divisors, whose sum is σ = 978001801920. Its totient is φ = 55531929600.

The previous prime is 245385786211. The next prime is 245385786241. The reversal of 245385786240 is 42687583542.

245385786240 is a `hidden beast` number, since 2 + 4 + 5 + 3 + 8 + 5 + 7 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245385786241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4042192 + ... + 4102448.

Almost surely, 2^245385786240 is an apocalyptic number.

245385786240 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 245385786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489000900960).

245385786240 is an abundant number, since it is smaller than the sum of its proper divisors (732616015680).

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

245385786240 is a wasteful number, since it uses less digits than its factorization.

245385786240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60390 (or 60375 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 245385786240 in words is "two hundred forty-five billion, three hundred eighty-five million, seven hundred eighty-six thousand, two hundred forty".