142878288960 has 896 divisors, whose sum is σ = 578731806720. Its totient is φ = 32845824000.

The previous prime is 142878288913. The next prime is 142878288977. The reversal of 142878288960 is 69882878241.

142878288960 is a `hidden beast` number, since 1 + 428 + 78 + 2 + 8 + 89 + 60 = 666.

142878288960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×142878288960² (a number of 23 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 356304760 + ... + 356305160.

Almost surely, 2^142878288960 is an apocalyptic number.

142878288960 is a gapful number since it is divisible by the number (10) 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 142878288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289365903360).

142878288960 is an abundant number, since it is smaller than the sum of its proper divisors (435853517760).

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

142878288960 is a wasteful number, since it uses less digits than its factorization.

142878288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 63.

The spelling of 142878288960 in words is "one hundred forty-two billion, eight hundred seventy-eight million, two hundred eighty-eight thousand, nine hundred sixty".