245810532000 has 1152 divisors, whose sum is σ = 942300463104. Its totient is φ = 55883520000.

The previous prime is 245810531933. The next prime is 245810532007. The reversal of 245810532000 is 235018542.

245810532000 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 (30).

It is not an unprimeable number, because it can be changed into a prime (245810532007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1935515937 + ... + 1935516063.

It is an arithmetic number, because the mean of its divisors is an integer number (817969152).

Almost surely, 2^245810532000 is an apocalyptic number.

245810532000 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 245810532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471150231552).

245810532000 is an abundant number, since it is smaller than the sum of its proper divisors (696489931104).

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

245810532000 is a wasteful number, since it uses less digits than its factorization.

245810532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 245810532000 in words is "two hundred forty-five billion, eight hundred ten million, five hundred thirty-two thousand".