90685068127920 has 2400 divisors, whose sum is σ = 398581677711360. Its totient is φ = 18996053852160.

The previous prime is 90685068127873. The next prime is 90685068127921. The reversal of 90685068127920 is 2972186058609.

90685068127920 is a `hidden beast` number, since 9 + 0 + 6 + 8 + 506 + 81 + 27 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (90685068127921) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 23318349336 + ... + 23318353224.

Almost surely, 2^{90685068127920} is an apocalyptic number.

90685068127920 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90685068127920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199290838855680).

90685068127920 is an abundant number, since it is smaller than the sum of its proper divisors (307896609583440).

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

90685068127920 is a wasteful number, since it uses less digits than its factorization.

90685068127920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4063 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 90685068127920 in words is "ninety trillion, six hundred eighty-five billion, sixty-eight million, one hundred twenty-seven thousand, nine hundred twenty".