245297794560 has 1920 divisors, whose sum is σ = 1078323840000. Its totient is φ = 47340453888.

The previous prime is 245297794513. The next prime is 245297794583. The reversal of 245297794560 is 65497792542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 245297794494 and 245297794503.

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, 8458544626 + ... + 8458544654.

It is an arithmetic number, because the mean of its divisors is an integer number (561627000).

Almost surely, 2^245297794560 is an apocalyptic number.

245297794560 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 245297794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539161920000).

245297794560 is an abundant number, since it is smaller than the sum of its proper divisors (833026045440).

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

245297794560 is a wasteful number, since it uses less digits than its factorization.

245297794560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 60.

The spelling of 245297794560 in words is "two hundred forty-five billion, two hundred ninety-seven million, seven hundred ninety-four thousand, five hundred sixty".