60225818400 has 864 divisors, whose sum is σ = 251519276736. Its totient is φ = 13393920000.

The previous prime is 60225818399. The next prime is 60225818413. The reversal of 60225818400 is 481852206.

60225818400 is a `hidden beast` number, since 602 + 2 + 5 + 8 + 1 + 8 + 40 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55201855 + ... + 55202945.

It is an arithmetic number, because the mean of its divisors is an integer number (291110274).

Almost surely, 2^60225818400 is an apocalyptic number.

60225818400 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 60225818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125759638368).

60225818400 is an abundant number, since it is smaller than the sum of its proper divisors (191293458336).

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

60225818400 is a wasteful number, since it uses less digits than its factorization.

60225818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 60225818400 in words is "sixty billion, two hundred twenty-five million, eight hundred eighteen thousand, four hundred".