59942412432000 has 768 divisors, whose sum is σ = 248457058387200. Its totient is φ = 13565445120000.

The previous prime is 59942412431989. The next prime is 59942412432017. The reversal of 59942412432000 is 23421424995.

59942412432000 is a `hidden beast` number, since 5 + 9 + 9 + 424 + 12 + 4 + 3 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101513611 + ... + 102102389.

It is an arithmetic number, because the mean of its divisors is an integer number (323511794775).

Almost surely, 2^{59942412432000} is an apocalyptic number.

59942412432000 is a gapful number since it is divisible by the number (50) 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 59942412432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124228529193600).

59942412432000 is an abundant number, since it is smaller than the sum of its proper divisors (188514645955200).

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

59942412432000 is a wasteful number, since it uses less digits than its factorization.

59942412432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588922 (or 588897 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 59942412432000 its reverse (23421424995), we get a palindrome (59965833856995).

The spelling of 59942412432000 in words is "fifty-nine trillion, nine hundred forty-two billion, four hundred twelve million, four hundred thirty-two thousand".