90689216496507 has 96 divisors (see below), whose sum is σ = 139779209606400. Its totient is φ = 58715737031808.

The previous prime is 90689216496409. The next prime is 90689216496583. The reversal of 90689216496507 is 70569461298609.

90689216496507 is a `hidden beast` number, since 9 + 0 + 6 + 8 + 9 + 21 + 6 + 4 + 96 + 507 = 666.

It is not a de Polignac number, because 90689216496507 - 2¹⁸ = 90689216234363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90689216496007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13202677669 + ... + 13202684537.

It is an arithmetic number, because the mean of its divisors is an integer number (1456033433400).

Almost surely, 2^{90689216496507} is an apocalyptic number.

90689216496507 is a deficient number, since it is larger than the sum of its proper divisors (49089993109893).

90689216496507 is a wasteful number, since it uses less digits than its factorization.

90689216496507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9447 (or 9435 counting only the distinct ones).

The product of its (nonzero) digits is 352719360, while the sum is 72.

The spelling of 90689216496507 in words is "ninety trillion, six hundred eighty-nine billion, two hundred sixteen million, four hundred ninety-six thousand, five hundred seven".