60413212800 has 384 divisors, whose sum is σ = 234106891200. Its totient is φ = 15162163200.

The previous prime is 60413212799. The next prime is 60413212807. The reversal of 60413212800 is 821231406.

60413212800 is a `hidden beast` number, since 60 + 4 + 1 + 321 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (60413212807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1448235 + ... + 1489365.

Almost surely, 2^60413212800 is an apocalyptic number.

60413212800 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 60413212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117053445600).

60413212800 is an abundant number, since it is smaller than the sum of its proper divisors (173693678400).

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

60413212800 is a wasteful number, since it uses less digits than its factorization.

60413212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41181 (or 41158 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 60413212800 in words is "sixty billion, four hundred thirteen million, two hundred twelve thousand, eight hundred".