35540531012352 has 144 divisors (see below), whose sum is σ = 99703911023360. Its totient is φ = 11208010715136.

The previous prime is 35540531012351. The next prime is 35540531012353. The reversal of 35540531012352 is 25321013504553.

It is an interprime number because it is at equal distance from previous prime (35540531012351) and next prime (35540531012353).

It is a self number, because there is not a number n which added to its sum of digits gives 35540531012352.

It is not an unprimeable number, because it can be changed into a prime (35540531012351) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 9034533 + ... + 12357339.

Almost surely, 2^{35540531012352} is an apocalyptic number.

35540531012352 is a gapful number since it is divisible by the number (32) 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 35540531012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49851955511680).

35540531012352 is an abundant number, since it is smaller than the sum of its proper divisors (64163380011008).

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

35540531012352 is a wasteful number, since it uses less digits than its factorization.

35540531012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3323578 (or 3323564 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 39.

The spelling of 35540531012352 in words is "thirty-five trillion, five hundred forty billion, five hundred thirty-one million, twelve thousand, three hundred fifty-two".