35130168840960 has 1440 divisors, whose sum is σ = 130967733314880. Its totient is φ = 8985322192896.

The previous prime is 35130168840931. The next prime is 35130168840967. The reversal of 35130168840960 is 6904886103153.

35130168840960 is a `hidden beast` number, since 3 + 5 + 13 + 0 + 168 + 8 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 = 35130168840897 and 35130168840906.

It is not an unprimeable number, because it can be changed into a prime (35130168840967) 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, 69018013186 + ... + 69018013694.

It is an arithmetic number, because the mean of its divisors is an integer number (90949814802).

Almost surely, 2^{35130168840960} is an apocalyptic number.

35130168840960 is a gapful number since it is divisible by the number (30) 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 35130168840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65483866657440).

35130168840960 is an abundant number, since it is smaller than the sum of its proper divisors (95837564473920).

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

35130168840960 is a wasteful number, since it uses less digits than its factorization.

35130168840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 35130168840960 in words is "thirty-five trillion, one hundred thirty billion, one hundred sixty-eight million, eight hundred forty thousand, nine hundred sixty".