245152785600 has 588 divisors, whose sum is σ = 918221439144. Its totient is φ = 64377815040.

The previous prime is 245152785593. The next prime is 245152785607. The reversal of 245152785600 is 6587251542.

245152785600 is a `hidden beast` number, since 2 + 4 + 5 + 15 + 2 + 78 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (245152785593) and next prime (245152785607).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (245152785607) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 78147232 + ... + 78150368.

Almost surely, 2^245152785600 is an apocalyptic number.

245152785600 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 245152785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459110719572).

245152785600 is an abundant number, since it is smaller than the sum of its proper divisors (673068653544).

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

245152785600 is an equidigital number, since it uses as much as digits as its factorization.

245152785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 245152785600 in words is "two hundred forty-five billion, one hundred fifty-two million, seven hundred eighty-five thousand, six hundred".