20606288523264 has 624 divisors, whose sum is σ = 66633483571200. Its totient is φ = 6343360708608.

The previous prime is 20606288523193. The next prime is 20606288523283. The reversal of 20606288523264 is 46232588260602.

It is a happy number.

20606288523264 is a `hidden beast` number, since 2 + 0 + 6 + 0 + 628 + 8 + 5 + 2 + 3 + 2 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20606288523264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 663868257 + ... + 663899295.

It is an arithmetic number, because the mean of its divisors is an integer number (106784428800).

Almost surely, 2^{20606288523264} is an apocalyptic number.

20606288523264 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 20606288523264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33316741785600).

20606288523264 is an abundant number, since it is smaller than the sum of its proper divisors (46027195047936).

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

20606288523264 is an equidigital number, since it uses as much as digits as its factorization.

20606288523264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31130 (or 31096 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 20606288523264 in words is "twenty trillion, six hundred six billion, two hundred eighty-eight million, five hundred twenty-three thousand, two hundred sixty-four".