60005266560 has 320 divisors, whose sum is σ = 221208134400. Its totient is φ = 15484815360.

The previous prime is 60005266543. The next prime is 60005266561. The reversal of 60005266560 is 6566250006.

60005266560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (60005266561) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1588371 + ... + 1625709.

It is an arithmetic number, because the mean of its divisors is an integer number (691275420).

Almost surely, 2^60005266560 is an apocalyptic number.

60005266560 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 60005266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110604067200).

60005266560 is an abundant number, since it is smaller than the sum of its proper divisors (161202867840).

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

60005266560 is a wasteful number, since it uses less digits than its factorization.

60005266560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37401 (or 37380 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 60005266560 in words is "sixty billion, five million, two hundred sixty-six thousand, five hundred sixty".