60138650880 has 1440 divisors, whose sum is σ = 278079234048. Its totient is φ = 12093235200.

The previous prime is 60138650879. The next prime is 60138650881. The reversal of 60138650880 is 8805683106.

60138650880 is a `hidden beast` number, since 6 + 0 + 138 + 6 + 508 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (60138650879) and next prime (60138650881).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60138650881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1939956465 + ... + 1939956495.

Almost surely, 2^60138650880 is an apocalyptic number.

60138650880 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 60138650880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139039617024).

60138650880 is an abundant number, since it is smaller than the sum of its proper divisors (217940583168).

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

60138650880 is an frugal number, since it uses more digits than its factorization.

60138650880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 60138650880 in words is "sixty billion, one hundred thirty-eight million, six hundred fifty thousand, eight hundred eighty".