142169398560 has 960 divisors, whose sum is σ = 590129971200. Its totient is φ = 31565334528.

The previous prime is 142169398559. The next prime is 142169398571. The reversal of 142169398560 is 65893961241.

142169398560 is a `hidden beast` number, since 1 + 42 + 1 + 6 + 9 + 39 + 8 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 142169398497 and 142169398506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 594850921 + ... + 594851159.

It is an arithmetic number, because the mean of its divisors is an integer number (614718720).

Almost surely, 2^142169398560 is an apocalyptic number.

142169398560 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 142169398560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295064985600).

142169398560 is an abundant number, since it is smaller than the sum of its proper divisors (447960572640).

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

142169398560 is a wasteful number, since it uses less digits than its factorization.

142169398560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 142169398560 in words is "one hundred forty-two billion, one hundred sixty-nine million, three hundred ninety-eight thousand, five hundred sixty".