245705504000 has 864 divisors, whose sum is σ = 732825999360. Its totient is φ = 81776640000.

The previous prime is 245705503993. The next prime is 245705504003. The reversal of 245705504000 is 405507542.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245705504003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2760735956 + ... + 2760736044.

It is an arithmetic number, because the mean of its divisors is an integer number (848178240).

Almost surely, 2^245705504000 is an apocalyptic number.

245705504000 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 245705504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366412999680).

245705504000 is an abundant number, since it is smaller than the sum of its proper divisors (487120495360).

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

245705504000 is a wasteful number, since it uses less digits than its factorization.

245705504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The spelling of 245705504000 in words is "two hundred forty-five billion, seven hundred five million, five hundred four thousand".