34536506533120 has 72 divisors (see below), whose sum is σ = 83187881249760. Its totient is φ = 13737425971200.

The previous prime is 34536506533079. The next prime is 34536506533129. The reversal of 34536506533120 is 2133560563543.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34536506533129) 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 7 ways as a sum of consecutive naturals, for example, 75138606 + ... + 75596845.

It is an arithmetic number, because the mean of its divisors is an integer number (1155387239580).

Almost surely, 2^{34536506533120} is an apocalyptic number.

It is an amenable number.

34536506533120 is an abundant number, since it is smaller than the sum of its proper divisors (48651374716640).

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

34536506533120 is a wasteful number, since it uses less digits than its factorization.

34536506533120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150735651 (or 150735637 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 46.

The spelling of 34536506533120 in words is "thirty-four trillion, five hundred thirty-six billion, five hundred six million, five hundred thirty-three thousand, one hundred twenty".