245799936000 has 672 divisors, whose sum is σ = 897067548000. Its totient is φ = 64743014400.

The previous prime is 245799935999. The next prime is 245799936007. The reversal of 245799936000 is 639997542.

245799936000 is a `hidden beast` number, since 2 + 4 + 579 + 9 + 9 + 3 + 60 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245799936007) 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, 1373183911 + ... + 1373184089.

Almost surely, 2^245799936000 is an apocalyptic number.

245799936000 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 245799936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448533774000).

245799936000 is an abundant number, since it is smaller than the sum of its proper divisors (651267612000).

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

245799936000 is a wasteful number, since it uses less digits than its factorization.

245799936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 245799936000 in words is "two hundred forty-five billion, seven hundred ninety-nine million, nine hundred thirty-six thousand".