245917858926960 has 1920 divisors, whose sum is σ = 942981373900800. Its totient is φ = 56929841971200.

The previous prime is 245917858926947. The next prime is 245917858926997. The reversal of 245917858926960 is 69629858719542.

245917858926960 is a `hidden beast` number, since 2 + 4 + 5 + 9 + 1 + 7 + 8 + 589 + 26 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×245917858926960² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 245917858926960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 790732665205 + ... + 790732665515.

It is an arithmetic number, because the mean of its divisors is an integer number (491136132240).

Almost surely, 2^{245917858926960} is an apocalyptic number.

245917858926960 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 245917858926960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471490686950400).

245917858926960 is an abundant number, since it is smaller than the sum of its proper divisors (697063514973840).

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

245917858926960 is a wasteful number, since it uses less digits than its factorization.

245917858926960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 4702924800, while the sum is 81.

The spelling of 245917858926960 in words is "two hundred forty-five trillion, nine hundred seventeen billion, eight hundred fifty-eight million, nine hundred twenty-six thousand, nine hundred sixty".