90287035020 has 384 divisors, whose sum is σ = 366053990400. Its totient is φ = 17928843264.

The previous prime is 90287034991. The next prime is 90287035021. The reversal of 90287035020 is 2053078209.

It is a happy number.

90287035020 is a `hidden beast` number, since 9 + 0 + 287 + 0 + 350 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (90287035021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 781341 + ... + 889419.

It is an arithmetic number, because the mean of its divisors is an integer number (953265600).

Almost surely, 2^90287035020 is an apocalyptic number.

90287035020 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 90287035020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183026995200).

90287035020 is an abundant number, since it is smaller than the sum of its proper divisors (275766955380).

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

90287035020 is a wasteful number, since it uses less digits than its factorization.

90287035020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108134 (or 108126 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 90287035020 in words is "ninety billion, two hundred eighty-seven million, thirty-five thousand, twenty".