142763886720 has 1280 divisors, whose sum is σ = 640449089280. Its totient is φ = 29501521920.

The previous prime is 142763886719. The next prime is 142763886721. The reversal of 142763886720 is 27688367241.

142763886720 is a `hidden beast` number, since 1 + 427 + 63 + 88 + 67 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (142763886719) and next prime (142763886721).

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

It is not an unprimeable number, because it can be changed into a prime (142763886721) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 250024035 + ... + 250024605.

It is an arithmetic number, because the mean of its divisors is an integer number (500350851).

Almost surely, 2^142763886720 is an apocalyptic number.

142763886720 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 142763886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320224544640).

142763886720 is an abundant number, since it is smaller than the sum of its proper divisors (497685202560).

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

142763886720 is a wasteful number, since it uses less digits than its factorization.

142763886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 675 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 142763886720 in words is "one hundred forty-two billion, seven hundred sixty-three million, eight hundred eighty-six thousand, seven hundred twenty".