60316401600 has 1344 divisors, whose sum is σ = 275854566400. Its totient is φ = 12481413120.

The previous prime is 60316401521. The next prime is 60316401631. The reversal of 60316401600 is 610461306.

60316401600 is a `hidden beast` number, since 6 + 0 + 3 + 1 + 640 + 16 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 263390286 + ... + 263390514.

Almost surely, 2^60316401600 is an apocalyptic number.

60316401600 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 60316401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137927283200).

60316401600 is an abundant number, since it is smaller than the sum of its proper divisors (215538164800).

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

60316401600 is a wasteful number, since it uses less digits than its factorization.

60316401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 60316401600 its reverse (610461306), we get a palindrome (60926862906).

The spelling of 60316401600 in words is "sixty billion, three hundred sixteen million, four hundred one thousand, six hundred".