35142179911056 has 225 divisors, whose sum is σ = 103501893995643. Its totient is φ = 11511390634560.

The previous prime is 35142179911039. The next prime is 35142179911063. The reversal of 35142179911056 is 65011997124153.

The square root of 35142179911056 is 5928084.

It is a perfect power (a square), and thus also a powerful number.

35142179911056 is a `hidden beast` number, since 3 + 5 + 1 + 421 + 79 + 91 + 10 + 56 = 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 = 35142179910993 and 35142179911011.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 12591249021 + ... + 12591251811.

Almost surely, 2^{35142179911056} is an apocalyptic number.

35142179911056 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

35142179911056 is the 5928084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35142179911056

35142179911056 is an abundant number, since it is smaller than the sum of its proper divisors (68359714084587).

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

35142179911056 is an frugal number, since it uses more digits than its factorization.

35142179911056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5720 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 35142179911056 in words is "thirty-five trillion, one hundred forty-two billion, one hundred seventy-nine million, nine hundred eleven thousand, fifty-six".