35130045150720 has 3840 divisors, whose sum is σ = 150801008117760. Its totient is φ = 7758780825600.

The previous prime is 35130045150677. The next prime is 35130045150751. The reversal of 35130045150720 is 2705154003153.

35130045150720 is a `hidden beast` number, since 3 + 5 + 130 + 0 + 4 + 515 + 0 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 494789368285 + ... + 494789368355.

It is an arithmetic number, because the mean of its divisors is an integer number (39271095864).

Almost surely, 2^{35130045150720} is an apocalyptic number.

35130045150720 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 35130045150720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75400504058880).

35130045150720 is an abundant number, since it is smaller than the sum of its proper divisors (115670962967040).

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

35130045150720 is a wasteful number, since it uses less digits than its factorization.

35130045150720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

Adding to 35130045150720 its reverse (2705154003153), we get a palindrome (37835199153873).

The spelling of 35130045150720 in words is "thirty-five trillion, one hundred thirty billion, forty-five million, one hundred fifty thousand, seven hundred twenty".