142689729600000 has 2400 divisors, whose sum is σ = 587065194422784. Its totient is φ = 34214400000000.

The previous prime is 142689729599987. The next prime is 142689729600017. The reversal of 142689729600000 is 6927986241.

142689729600000 is a `hidden beast` number, since 1 + 4 + 2 + 6 + 8 + 9 + 7 + 29 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×142689729600000² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142689729600000.

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 239 ways as a sum of consecutive naturals, for example, 143985599505 + ... + 143985600495.

Almost surely, 2^{142689729600000} is an apocalyptic number.

142689729600000 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 142689729600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293532597211392).

142689729600000 is an abundant number, since it is smaller than the sum of its proper divisors (444375464822784).

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

142689729600000 is an frugal number, since it uses more digits than its factorization.

142689729600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 142689729600000 in words is "one hundred forty-two trillion, six hundred eighty-nine billion, seven hundred twenty-nine million, six hundred thousand".