20535330816 has 1152 divisors, whose sum is σ = 84701635200. Its totient is φ = 4830658560.

The previous prime is 20535330797. The next prime is 20535330857. The reversal of 20535330816 is 61803353502.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 387459046 + ... + 387459098.

It is an arithmetic number, because the mean of its divisors is an integer number (73525725).

Almost surely, 2^20535330816 is an apocalyptic number.

20535330816 is a gapful number since it is divisible by the number (26) 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 20535330816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42350817600).

20535330816 is an abundant number, since it is smaller than the sum of its proper divisors (64166304384).

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

20535330816 is a wasteful number, since it uses less digits than its factorization.

20535330816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 20535330816 in words is "twenty billion, five hundred thirty-five million, three hundred thirty thousand, eight hundred sixteen".