90286419960 has 1920 divisors, whose sum is σ = 400445337600. Its totient is φ = 18065203200.

The previous prime is 90286419959. The next prime is 90286419989. The reversal of 90286419960 is 6991468209.

90286419960 is a `hidden beast` number, since 90 + 2 + 86 + 419 + 9 + 60 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 90286419897 and 90286419906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 2912465145 + ... + 2912465175.

It is an arithmetic number, because the mean of its divisors is an integer number (208565280).

Almost surely, 2^90286419960 is an apocalyptic number.

90286419960 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 90286419960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200222668800).

90286419960 is an abundant number, since it is smaller than the sum of its proper divisors (310158917640).

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

90286419960 is a wasteful number, since it uses less digits than its factorization.

90286419960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 90286419960 in words is "ninety billion, two hundred eighty-six million, four hundred nineteen thousand, nine hundred sixty".