245955497944800 has 1152 divisors, whose sum is σ = 972056824381440. Its totient is φ = 52822007193600.

The previous prime is 245955497944789. The next prime is 245955497944817. The reversal of 245955497944800 is 8449794559542.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9230125077 + ... + 9230151723.

It is an arithmetic number, because the mean of its divisors is an integer number (843799326720).

Almost surely, 2^{245955497944800} is an apocalyptic number.

245955497944800 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 245955497944800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486028412190720).

245955497944800 is an abundant number, since it is smaller than the sum of its proper divisors (726101326436640).

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

245955497944800 is a wasteful number, since it uses less digits than its factorization.

245955497944800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27224 (or 27211 counting only the distinct ones).

The product of its (nonzero) digits is 2612736000, while the sum is 75.

The spelling of 245955497944800 in words is "two hundred forty-five trillion, nine hundred fifty-five billion, four hundred ninety-seven million, nine hundred forty-four thousand, eight hundred".