20071042920 has 576 divisors, whose sum is σ = 75371688000. Its totient is φ = 4737325824.

The previous prime is 20071042909. The next prime is 20071042933. The reversal of 20071042920 is 2924017002.

20071042920 is a `hidden beast` number, since 200 + 7 + 10 + 429 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 466768419 + ... + 466768461.

It is an arithmetic number, because the mean of its divisors is an integer number (130853625).

Almost surely, 2^20071042920 is an apocalyptic number.

20071042920 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 20071042920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37685844000).

20071042920 is an abundant number, since it is smaller than the sum of its proper divisors (55300645080).

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

20071042920 is a wasteful number, since it uses less digits than its factorization.

20071042920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 20071042920 its reverse (2924017002), we get a palindrome (22995059922).

The spelling of 20071042920 in words is "twenty billion, seventy-one million, forty-two thousand, nine hundred twenty".