90405755924705 has 16 divisors (see below), whose sum is σ = 116832643900560. Its totient is φ = 66760836411648.

The previous prime is 90405755924641. The next prime is 90405755924849. The reversal of 90405755924705 is 50742955750409.

It can be written as a sum of positive squares in 8 ways, for example, as 569499641104 + 89836256283601 = 754652^2 + 9478199^2 .

It is a cyclic number.

It is not a de Polignac number, because 90405755924705 - 2⁶ = 90405755924641 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9843599 + ... + 16664571.

It is an arithmetic number, because the mean of its divisors is an integer number (7302040243785).

Almost surely, 2^{90405755924705} is an apocalyptic number.

It is an amenable number.

90405755924705 is a deficient number, since it is larger than the sum of its proper divisors (26426887975855).

90405755924705 is a wasteful number, since it uses less digits than its factorization.

90405755924705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7024900.

The product of its (nonzero) digits is 79380000, while the sum is 62.

The spelling of 90405755924705 in words is "ninety trillion, four hundred five billion, seven hundred fifty-five million, nine hundred twenty-four thousand, seven hundred five".