245806532737920 has 1792 divisors, whose sum is σ = 1106484244116480. Its totient is φ = 50702844395520.

The previous prime is 245806532737889. The next prime is 245806532737937. The reversal of 245806532737920 is 29737235608542.

245806532737920 is a `hidden beast` number, since 2 + 4 + 5 + 8 + 0 + 6 + 532 + 7 + 3 + 7 + 92 + 0 = 666.

245806532737920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4921716469 + ... + 4921766411.

Almost surely, 2^{245806532737920} is an apocalyptic number.

245806532737920 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 245806532737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553242122058240).

245806532737920 is an abundant number, since it is smaller than the sum of its proper divisors (860677711378560).

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

245806532737920 is a wasteful number, since it uses less digits than its factorization.

245806532737920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50135 (or 50108 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 245806532737920 in words is "two hundred forty-five trillion, eight hundred six billion, five hundred thirty-two million, seven hundred thirty-seven thousand, nine hundred twenty".