142795560960 has 1920 divisors, whose sum is σ = 629318289600. Its totient is φ = 30576476160.

The previous prime is 142795560953. The next prime is 142795561021. The reversal of 142795560960 is 69065597241.

142795560960 is a `hidden beast` number, since 1 + 4 + 2 + 79 + 5 + 560 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×142795560960² (a number of 23 digits) contains 22 as substring.

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 = 142795560897 and 142795560906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3482818540 + ... + 3482818580.

Almost surely, 2^142795560960 is an apocalyptic number.

142795560960 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 142795560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314659144800).

142795560960 is an abundant number, since it is smaller than the sum of its proper divisors (486522728640).

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

142795560960 is a wasteful number, since it uses less digits than its factorization.

142795560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 142795560960 in words is "one hundred forty-two billion, seven hundred ninety-five million, five hundred sixty thousand, nine hundred sixty".