20519811648 has 1120 divisors, whose sum is σ = 80724695040. Its totient is φ = 5016453120.

The previous prime is 20519811647. The next prime is 20519811661. The reversal of 20519811648 is 84611891502.

It is a happy number.

20519811648 is a `hidden beast` number, since 2 + 0 + 519 + 81 + 16 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (20519811643) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 554589486 + ... + 554589522.

Almost surely, 2^20519811648 is an apocalyptic number.

20519811648 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 20519811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40362347520).

20519811648 is an abundant number, since it is smaller than the sum of its proper divisors (60204883392).

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

20519811648 is a wasteful number, since it uses less digits than its factorization.

20519811648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 20519811648 in words is "twenty billion, five hundred nineteen million, eight hundred eleven thousand, six hundred forty-eight".