20457871920 has 200 divisors, whose sum is σ = 71231490000. Its totient is φ = 5441748480.

The previous prime is 20457871913. The next prime is 20457871949. The reversal of 20457871920 is 2917875402.

It is a happy number.

20457871920 is a `hidden beast` number, since 2 + 0 + 4 + 578 + 71 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2724331 + ... + 2731829.

It is an arithmetic number, because the mean of its divisors is an integer number (356157450).

Almost surely, 2^20457871920 is an apocalyptic number.

20457871920 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 20457871920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35615745000).

20457871920 is an abundant number, since it is smaller than the sum of its proper divisors (50773618080).

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

20457871920 is a wasteful number, since it uses less digits than its factorization.

20457871920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7945 (or 7930 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 20457871920 in words is "twenty billion, four hundred fifty-seven million, eight hundred seventy-one thousand, nine hundred twenty".