35595228240 has 720 divisors, whose sum is σ = 144416288016. Its totient is φ = 7801896960.

The previous prime is 35595228181. The next prime is 35595228241. The reversal of 35595228240 is 4282259553.

35595228240 is a `hidden beast` number, since 3 + 5 + 5 + 9 + 522 + 82 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 312865344 + 35282362896 = 17688^2 + 187836^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35595228241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60025384 + ... + 60025976.

Almost surely, 2^35595228240 is an apocalyptic number.

35595228240 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 35595228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72208144008).

35595228240 is an abundant number, since it is smaller than the sum of its proper divisors (108821059776).

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

35595228240 is a wasteful number, since it uses less digits than its factorization.

35595228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 35595228240 in words is "thirty-five billion, five hundred ninety-five million, two hundred twenty-eight thousand, two hundred forty".