20145271608 has 432 divisors, whose sum is σ = 71525825280. Its totient is φ = 5100480000.

The previous prime is 20145271591. The next prime is 20145271639. The reversal of 20145271608 is 80617254102.

20145271608 is a `hidden beast` number, since 2 + 0 + 1 + 45 + 2 + 7 + 1 + 608 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17501833 + ... + 17502983.

It is an arithmetic number, because the mean of its divisors is an integer number (165569040).

Almost surely, 2^20145271608 is an apocalyptic number.

20145271608 is a gapful number since it is divisible by the number (28) 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 20145271608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35762912640).

20145271608 is an abundant number, since it is smaller than the sum of its proper divisors (51380553672).

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

20145271608 is a wasteful number, since it uses less digits than its factorization.

20145271608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 20145271608 in words is "twenty billion, one hundred forty-five million, two hundred seventy-one thousand, six hundred eight".