245935872000 has 3072 divisors, whose sum is σ = 1236346675200. Its totient is φ = 46714060800.

The previous prime is 245935871999. The next prime is 245935872029. The reversal of 245935872000 is 278539542.

245935872000 is a `hidden beast` number, since 2 + 4 + 593 + 58 + 7 + 2 + 0 + 0 + 0 = 666.

245935872000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10692863989 + ... + 10692864011.

It is an arithmetic number, because the mean of its divisors is an integer number (402456600).

Almost surely, 2^245935872000 is an apocalyptic number.

245935872000 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 245935872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618173337600).

245935872000 is an abundant number, since it is smaller than the sum of its proper divisors (990410803200).

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

245935872000 is a wasteful number, since it uses less digits than its factorization.

245935872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 245935872000 in words is "two hundred forty-five billion, nine hundred thirty-five million, eight hundred seventy-two thousand".