245193285120 has 320 divisors, whose sum is σ = 904071421440. Its totient is φ = 55528685568.

The previous prime is 245193285109. The next prime is 245193285133. The reversal of 245193285120 is 21582391542.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×245193285120³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5838919 + ... + 5880761.

It is an arithmetic number, because the mean of its divisors is an integer number (2825223192).

Almost surely, 2^245193285120 is an apocalyptic number.

245193285120 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 245193285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452035710720).

245193285120 is an abundant number, since it is smaller than the sum of its proper divisors (658878136320).

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

245193285120 is a wasteful number, since it uses less digits than its factorization.

245193285120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41985 (or 41969 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The spelling of 245193285120 in words is "two hundred forty-five billion, one hundred ninety-three million, two hundred eighty-five thousand, one hundred twenty".