905610880097 has 64 divisors (see below), whose sum is σ = 1217927467008. Its totient is φ = 651801600000.

The previous prime is 905610879997. The next prime is 905610880171. The reversal of 905610880097 is 790088016509.

905610880097 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 905610880097 - 2¹⁰ = 905610879073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (905210880097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16378097 + ... + 16433297.

It is an arithmetic number, because the mean of its divisors is an integer number (19030116672).

Almost surely, 2^905610880097 is an apocalyptic number.

It is an amenable number.

905610880097 is a deficient number, since it is larger than the sum of its proper divisors (312316586911).

905610880097 is a wasteful number, since it uses less digits than its factorization.

905610880097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55470.

The product of its (nonzero) digits is 1088640, while the sum is 53.

The spelling of 905610880097 in words is "nine hundred five billion, six hundred ten million, eight hundred eighty thousand, ninety-seven".