20019056640 has 416 divisors, whose sum is σ = 73601049600. Its totient is φ = 4594728960.

The previous prime is 20019056633. The next prime is 20019056647. The reversal of 20019056640 is 4665091002.

It is an interprime number because it is at equal distance from previous prime (20019056633) and next prime (20019056647).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (20019056647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12840181 + ... + 12841739.

It is an arithmetic number, because the mean of its divisors is an integer number (176925600).

Almost surely, 2^20019056640 is an apocalyptic number.

20019056640 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 20019056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36800524800).

20019056640 is an abundant number, since it is smaller than the sum of its proper divisors (53581992960).

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

20019056640 is a wasteful number, since it uses less digits than its factorization.

20019056640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 20019056640 in words is "twenty billion, nineteen million, fifty-six thousand, six hundred forty".