245306880000 has 1950 divisors, whose sum is σ = 1133220459624. Its totient is φ = 51757056000.

The previous prime is 245306879977. The next prime is 245306880001. The reversal of 245306880000 is 88603542.

It is a tau number, because it is divible by the number of its divisors (1950).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245306880001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 18869759994 + ... + 18869760006.

Almost surely, 2^245306880000 is an apocalyptic number.

245306880000 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 245306880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566610229812).

245306880000 is an abundant number, since it is smaller than the sum of its proper divisors (887913579624).

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

245306880000 is an frugal number, since it uses more digits than its factorization.

245306880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 245306880000 in words is "two hundred forty-five billion, three hundred six million, eight hundred eighty thousand".