35540616640512 has 192 divisors, whose sum is σ = 97954980963840. Its totient is φ = 11452062892032.

The previous prime is 35540616640307. The next prime is 35540616640517. The reversal of 35540616640512 is 21504661604553.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35540616640517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24933193 + ... + 26320055.

It is an arithmetic number, because the mean of its divisors is an integer number (510182192520).

Almost surely, 2^{35540616640512} is an apocalyptic number.

35540616640512 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 35540616640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48977490481920).

35540616640512 is an abundant number, since it is smaller than the sum of its proper divisors (62414364323328).

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

35540616640512 is a wasteful number, since it uses less digits than its factorization.

35540616640512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387028 (or 1387008 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 35540616640512 in words is "thirty-five trillion, five hundred forty billion, six hundred sixteen million, six hundred forty thousand, five hundred twelve".