20135485440 has 1008 divisors, whose sum is σ = 87876839232. Its totient is φ = 4331667456.

The previous prime is 20135485439. The next prime is 20135485483. The reversal of 20135485440 is 4458453102.

It is a happy number.

20135485440 is a `hidden beast` number, since 2 + 0 + 135 + 4 + 85 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a junction number, because it is equal to n+sod(n) for n = 20135485395 and 20135485404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1184440312 + ... + 1184440328.

It is an arithmetic number, because the mean of its divisors is an integer number (87179404).

Almost surely, 2^20135485440 is an apocalyptic number.

20135485440 is a gapful number since it is divisible by the number (20) 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 20135485440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43938419616).

20135485440 is an abundant number, since it is smaller than the sum of its proper divisors (67741353792).

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

20135485440 is an frugal number, since it uses more digits than its factorization.

20135485440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 20135485440 in words is "twenty billion, one hundred thirty-five million, four hundred eighty-five thousand, four hundred forty".