35130826080 has 288 divisors, whose sum is σ = 137200137984. Its totient is φ = 8018777088.

The previous prime is 35130826033. The next prime is 35130826139. The reversal of 35130826080 is 8062803153.

35130826080 is a `hidden beast` number, since 3 + 513 + 0 + 8 + 2 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8898667 + ... + 8902613.

It is an arithmetic number, because the mean of its divisors is an integer number (476389368).

Almost surely, 2^35130826080 is an apocalyptic number.

35130826080 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 35130826080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68600068992).

35130826080 is an abundant number, since it is smaller than the sum of its proper divisors (102069311904).

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

35130826080 is a wasteful number, since it uses less digits than its factorization.

35130826080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4858 (or 4847 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 35130826080 in words is "thirty-five billion, one hundred thirty million, eight hundred twenty-six thousand, eighty".