60682788000 has 288 divisors, whose sum is σ = 220621342032. Its totient is φ = 15787008000.

The previous prime is 60682787989. The next prime is 60682788043. The reversal of 60682788000 is 88728606.

It can be written as a sum of positive squares in 8 ways, for example, as 160883856 + 60521904144 = 12684^2 + 246012^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1455444 + ... + 1496556.

Almost surely, 2^60682788000 is an apocalyptic number.

60682788000 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 60682788000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110310671016).

60682788000 is an abundant number, since it is smaller than the sum of its proper divisors (159938554032).

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

60682788000 is a wasteful number, since it uses less digits than its factorization.

60682788000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41185 (or 41164 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 60682788000 in words is "sixty billion, six hundred eighty-two million, seven hundred eighty-eight thousand".