245205532000 has 288 divisors, whose sum is σ = 713177311392. Its totient is φ = 82304640000.

The previous prime is 245205531983. The next prime is 245205532111. The reversal of 245205532000 is 235502542.

It is a self number, because there is not a number n which added to its sum of digits gives 245205532000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6272515 + ... + 6311485.

It is an arithmetic number, because the mean of its divisors is an integer number (2476310109).

Almost surely, 2^245205532000 is an apocalyptic number.

245205532000 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 245205532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356588655696).

245205532000 is an abundant number, since it is smaller than the sum of its proper divisors (467971779392).

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

245205532000 is a wasteful number, since it uses less digits than its factorization.

245205532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39031 (or 39002 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 28.

The spelling of 245205532000 in words is "two hundred forty-five billion, two hundred five million, five hundred thirty-two thousand".