142968597730560 has 1152 divisors, whose sum is σ = 597439005757440. Its totient is φ = 31691155931136.

The previous prime is 142968597730507. The next prime is 142968597730561. The reversal of 142968597730560 is 65037795869241.

142968597730560 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 6 + 8 + 59 + 7 + 7 + 3 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142968597730561) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 2747943267 + ... + 2747995293.

It is a 3-persistent number, because k⋅142968597730560 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{142968597730560} is an apocalyptic number.

142968597730560 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 142968597730560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298719502878720).

142968597730560 is an abundant number, since it is smaller than the sum of its proper divisors (454470408026880).

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

142968597730560 is a wasteful number, since it uses less digits than its factorization.

142968597730560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52408 (or 52388 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 142968597730560 in words is "one hundred forty-two trillion, nine hundred sixty-eight billion, five hundred ninety-seven million, seven hundred thirty thousand, five hundred sixty".