35005253552440 has 64 divisors (see below), whose sum is σ = 79533883281600. Its totient is φ = 13865005744128.

The previous prime is 35005253552341. The next prime is 35005253552441. The reversal of 35005253552440 is 4425535250053.

It is a super-2 number, since 2×35005253552440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35005253552441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4508472 + ... + 9504568.

It is an arithmetic number, because the mean of its divisors is an integer number (1242716926275).

Almost surely, 2^{35005253552440} is an apocalyptic number.

It is an amenable number.

35005253552440 is an abundant number, since it is smaller than the sum of its proper divisors (44528629729160).

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

35005253552440 is a wasteful number, since it uses less digits than its factorization.

35005253552440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4997824 (or 4997820 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 43.

The spelling of 35005253552440 in words is "thirty-five trillion, five billion, two hundred fifty-three million, five hundred fifty-two thousand, four hundred forty".