60486314400 has 216 divisors, whose sum is σ = 215404236684. Its totient is φ = 15969792000.

The previous prime is 60486314327. The next prime is 60486314407. The reversal of 60486314400 is 441368406.

60486314400 is a `hidden beast` number, since 604 + 8 + 6 + 3 + 1 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 40608698256 + 19877616144 = 201516^2 + 140988^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (60486314407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 685612 + ... + 768788.

Almost surely, 2^60486314400 is an apocalyptic number.

60486314400 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 60486314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107702118342).

60486314400 is an abundant number, since it is smaller than the sum of its proper divisors (154917922284).

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

60486314400 is a wasteful number, since it uses less digits than its factorization.

60486314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83304 (or 83288 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 60486314400 in words is "sixty billion, four hundred eighty-six million, three hundred fourteen thousand, four hundred".