245538025600 has 192 divisors, whose sum is σ = 693853090560. Its totient is φ = 84105953280.

The previous prime is 245538025589. The next prime is 245538025627. The reversal of 245538025600 is 6520835542.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27256297 + ... + 27265303.

It is an arithmetic number, because the mean of its divisors is an integer number (3613818180).

Almost surely, 2^245538025600 is an apocalyptic number.

245538025600 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 245538025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346926545280).

245538025600 is an abundant number, since it is smaller than the sum of its proper divisors (448315064960).

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

245538025600 is a wasteful number, since it uses less digits than its factorization.

245538025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10255 (or 10238 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 40.

The spelling of 245538025600 in words is "two hundred forty-five billion, five hundred thirty-eight million, twenty-five thousand, six hundred".