90687435965208 has 192 divisors, whose sum is σ = 255440947507200. Its totient is φ = 29034203397120.

The previous prime is 90687435965171. The next prime is 90687435965257. The reversal of 90687435965208 is 80256953478609.

It is a happy number.

90687435965208 is a `hidden beast` number, since 9 + 0 + 6 + 8 + 7 + 4 + 3 + 5 + 96 + 520 + 8 = 666.

It is a super-2 number, since 2×90687435965208² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998022385 + ... + 998113247.

It is an arithmetic number, because the mean of its divisors is an integer number (1330421601600).

Almost surely, 2^{90687435965208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90687435965208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127720473753600).

90687435965208 is an abundant number, since it is smaller than the sum of its proper divisors (164753511541992).

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

90687435965208 is a wasteful number, since it uses less digits than its factorization.

90687435965208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94262 (or 94255 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 90687435965208 in words is "ninety trillion, six hundred eighty-seven billion, four hundred thirty-five million, nine hundred sixty-five thousand, two hundred eight".