35696148480 has 480 divisors, whose sum is σ = 132497937000. Its totient is φ = 8858370048.

The previous prime is 35696148479. The next prime is 35696148541. The reversal of 35696148480 is 8484169653.

35696148480 is a `hidden beast` number, since 3 + 5 + 69 + 61 + 48 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 28030795776 + 7665352704 = 167424^2 + 87552^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 401080276 + ... + 401080364.

Almost surely, 2^35696148480 is an apocalyptic number.

35696148480 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 35696148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66248968500).

35696148480 is an abundant number, since it is smaller than the sum of its proper divisors (96801788520).

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

35696148480 is an frugal number, since it uses more digits than its factorization.

35696148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 35696148480 in words is "thirty-five billion, six hundred ninety-six million, one hundred forty-eight thousand, four hundred eighty".