60828169989600 has 1728 divisors, whose sum is σ = 242632501151040. Its totient is φ = 14802119884800.

The previous prime is 60828169989577. The next prime is 60828169989607. The reversal of 60828169989600 is 698996182806.

60828169989600 is a `hidden beast` number, since 6 + 0 + 8 + 2 + 8 + 1 + 6 + 9 + 9 + 8 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60828169989607) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 252399045480 + ... + 252399045720.

It is an arithmetic number, because the mean of its divisors is an integer number (140412327055).

Almost surely, 2^{60828169989600} is an apocalyptic number.

60828169989600 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 60828169989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121316250575520).

60828169989600 is an abundant number, since it is smaller than the sum of its proper divisors (181804331161440).

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

60828169989600 is a wasteful number, since it uses less digits than its factorization.

60828169989600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 72.

The spelling of 60828169989600 in words is "sixty trillion, eight hundred twenty-eight billion, one hundred sixty-nine million, nine hundred eighty-nine thousand, six hundred".