60621112800 has 432 divisors, whose sum is σ = 229347977040. Its totient is φ = 15606743040.

The previous prime is 60621112759. The next prime is 60621112813. The reversal of 60621112800 is 821112606.

60621112800 is a `hidden beast` number, since 6 + 0 + 621 + 11 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-3 number, since 3×60621112800³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 5632224 + ... + 5642976.

It is an arithmetic number, because the mean of its divisors is an integer number (530898095).

Almost surely, 2^60621112800 is an apocalyptic number.

60621112800 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 60621112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114673988520).

60621112800 is an abundant number, since it is smaller than the sum of its proper divisors (168726864240).

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

60621112800 is a wasteful number, since it uses less digits than its factorization.

60621112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10817 (or 10792 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 60621112800 in words is "sixty billion, six hundred twenty-one million, one hundred twelve thousand, eight hundred".