60288412800 has 384 divisors, whose sum is σ = 247577011200. Its totient is φ = 12527308800.

The previous prime is 60288412787. The next prime is 60288412817. The reversal of 60288412800 is 821488206.

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

It is an unprimeable number.

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, 698421 + ... + 779979.

It is an arithmetic number, because the mean of its divisors is an integer number (644731800).

Almost surely, 2^60288412800 is an apocalyptic number.

60288412800 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 60288412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123788505600).

60288412800 is an abundant number, since it is smaller than the sum of its proper divisors (187288598400).

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

60288412800 is a wasteful number, since it uses less digits than its factorization.

60288412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81604 (or 81587 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The spelling of 60288412800 in words is "sixty billion, two hundred eighty-eight million, four hundred twelve thousand, eight hundred".