42060578659200 has 960 divisors, whose sum is σ = 157550835855600. Its totient is φ = 11047623229440.

The previous prime is 42060578659199. The next prime is 42060578659207. The reversal of 42060578659200 is 295687506024.

42060578659200 is a `hidden beast` number, since 4 + 2 + 0 + 6 + 0 + 578 + 65 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42060578659207) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25979355991 + ... + 25979357609.

Almost surely, 2^{42060578659200} is an apocalyptic number.

42060578659200 is a gapful number since it is divisible by the number (40) 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 42060578659200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78775417927800).

42060578659200 is an abundant number, since it is smaller than the sum of its proper divisors (115490257196400).

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

42060578659200 is a wasteful number, since it uses less digits than its factorization.

42060578659200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3101 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 42060578659200 in words is "forty-two trillion, sixty billion, five hundred seventy-eight million, six hundred fifty-nine thousand, two hundred".