60125773824 has 256 divisors, whose sum is σ = 180562032000. Its totient is φ = 20018036736.

The previous prime is 60125773823. The next prime is 60125773837. The reversal of 60125773824 is 42837752106.

60125773824 is a `hidden beast` number, since 60 + 12 + 577 + 3 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 60125773824.

It is not an unprimeable number, because it can be changed into a prime (60125773823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71663197 + ... + 71664035.

Almost surely, 2^60125773824 is an apocalyptic number.

60125773824 is a gapful number since it is divisible by the number (64) 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 60125773824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90281016000).

60125773824 is an abundant number, since it is smaller than the sum of its proper divisors (120436258176).

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

60125773824 is an frugal number, since it uses more digits than its factorization.

60125773824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 60125773824 in words is "sixty billion, one hundred twenty-five million, seven hundred seventy-three thousand, eight hundred twenty-four".