20095208640 has 1008 divisors, whose sum is σ = 82228517280. Its totient is φ = 4485611520.

The previous prime is 20095208633. The next prime is 20095208671. The reversal of 20095208640 is 4680259002.

It is a happy number.

20095208640 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 5 + 2 + 0 + 8 + 640 = 666.

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 = 20095208595 and 20095208604.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 379154854 + ... + 379154906.

It is an arithmetic number, because the mean of its divisors is an integer number (81575910).

Almost surely, 2^20095208640 is an apocalyptic number.

20095208640 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 20095208640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41114258640).

20095208640 is an abundant number, since it is smaller than the sum of its proper divisors (62133308640).

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

20095208640 is a wasteful number, since it uses less digits than its factorization.

20095208640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20095208640 in words is "twenty billion, ninety-five million, two hundred eight thousand, six hundred forty".