35085550500 has 576 divisors, whose sum is σ = 148628712960. Its totient is φ = 6728832000.

The previous prime is 35085550483. The next prime is 35085550517. The reversal of 35085550500 is 505558053.

35085550500 is a `hidden beast` number, since 3 + 50 + 8 + 5 + 550 + 50 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (35085550483) and next prime (35085550517).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4500606 + ... + 4508394.

It is an arithmetic number, because the mean of its divisors is an integer number (258035960).

Almost surely, 2^35085550500 is an apocalyptic number.

35085550500 is a gapful number since it is divisible by the number (30) 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 35085550500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74314356480).

35085550500 is an abundant number, since it is smaller than the sum of its proper divisors (113543162460).

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

35085550500 is a wasteful number, since it uses less digits than its factorization.

35085550500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845 (or 7830 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

It can be divided in two parts, 35085 and 550500, that added together give a palindrome (585585).

The spelling of 35085550500 in words is "thirty-five billion, eighty-five million, five hundred fifty thousand, five hundred".