20653411584 has 216 divisors, whose sum is σ = 59869266912. Its totient is φ = 6317875200.

The previous prime is 20653411579. The next prime is 20653411601. The reversal of 20653411584 is 48511435602.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29462434 + ... + 29463134.

It is an arithmetic number, because the mean of its divisors is an integer number (277172532).

Almost surely, 2^20653411584 is an apocalyptic number.

20653411584 is a gapful number since it is divisible by the number (24) 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 20653411584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29934633456).

20653411584 is an abundant number, since it is smaller than the sum of its proper divisors (39215855328).

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

20653411584 is a wasteful number, since it uses less digits than its factorization.

20653411584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 20653411584 in words is "twenty billion, six hundred fifty-three million, four hundred eleven thousand, five hundred eighty-four".