20552352640 has 256 divisors, whose sum is σ = 53597246400. Its totient is φ = 7507148800.

The previous prime is 20552352637. The next prime is 20552352647. The reversal of 20552352640 is 4625325502.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 20552352596 and 20552352605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20552352647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64833762 + ... + 64834078.

Almost surely, 2^20552352640 is an apocalyptic number.

20552352640 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 20552352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26798623200).

20552352640 is an abundant number, since it is smaller than the sum of its proper divisors (33044893760).

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

20552352640 is a wasteful number, since it uses less digits than its factorization.

20552352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 20552352640 in words is "twenty billion, five hundred fifty-two million, three hundred fifty-two thousand, six hundred forty".