20834518656 has 128 divisors (see below), whose sum is σ = 63746703360. Its totient is φ = 5905751040.

The previous prime is 20834518603. The next prime is 20834518673. The reversal of 20834518656 is 65681543802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×20834518656³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310861 + ... + 371891.

It is an arithmetic number, because the mean of its divisors is an integer number (498021120).

Almost surely, 2^20834518656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20834518656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31873351680).

20834518656 is an abundant number, since it is smaller than the sum of its proper divisors (42912184704).

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

20834518656 is a wasteful number, since it uses less digits than its factorization.

20834518656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61182 (or 61170 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 48.

The spelling of 20834518656 in words is "twenty billion, eight hundred thirty-four million, five hundred eighteen thousand, six hundred fifty-six".