60268354560 has 616 divisors, whose sum is σ = 220909063056. Its totient is φ = 15765995520.

The previous prime is 60268354541. The next prime is 60268354583. The reversal of 60268354560 is 6545386206.

60268354560 is a `hidden beast` number, since 6 + 0 + 2 + 6 + 83 + 5 + 4 + 560 = 666.

It is a super-3 number, since 3×60268354560³ (a number of 33 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 250076040 + ... + 250076280.

Almost surely, 2^60268354560 is an apocalyptic number.

60268354560 is a gapful number since it is divisible by the number (60) 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 60268354560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110454531528).

60268354560 is an abundant number, since it is smaller than the sum of its proper divisors (160640708496).

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

60268354560 is an equidigital number, since it uses as much as digits as its factorization.

60268354560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 60268354560 in words is "sixty billion, two hundred sixty-eight million, three hundred fifty-four thousand, five hundred sixty".