35553125410064 has 20 divisors (see below), whose sum is σ = 68982446096460. Its totient is φ = 17751203836800.

The previous prime is 35553125410031. The next prime is 35553125410073. The reversal of 35553125410064 is 46001452135553.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19508934939664 + 16044190470400 = 4416892^2 + 4005520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35553125409997 and 35553125410024.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1584917699 + ... + 1584940130.

It is an arithmetic number, because the mean of its divisors is an integer number (3449122304823).

Almost surely, 2^{35553125410064} is an apocalyptic number.

It is an amenable number.

35553125410064 is a deficient number, since it is larger than the sum of its proper divisors (33429320686396).

35553125410064 is a wasteful number, since it uses less digits than its factorization.

35553125410064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169858538 (or 3169858532 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 44.

The spelling of 35553125410064 in words is "thirty-five trillion, five hundred fifty-three billion, one hundred twenty-five million, four hundred ten thousand, sixty-four".