20852009345664 has 1152 divisors, whose sum is σ = 74712698161920. Its totient is φ = 5768921088000.

The previous prime is 20852009345581. The next prime is 20852009345693. The reversal of 20852009345664 is 46654390025802.

20852009345664 is a `hidden beast` number, since 2 + 0 + 8 + 520 + 0 + 9 + 3 + 4 + 56 + 64 = 666.

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 (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20852009345664.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6948352164 + ... + 6948355164.

It is an arithmetic number, because the mean of its divisors is an integer number (64854772710).

Almost surely, 2^{20852009345664} is an apocalyptic number.

20852009345664 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 20852009345664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37356349080960).

20852009345664 is an abundant number, since it is smaller than the sum of its proper divisors (53860688816256).

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

20852009345664 is an equidigital number, since it uses as much as digits as its factorization.

20852009345664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188 (or 3157 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 20852009345664 in words is "twenty trillion, eight hundred fifty-two billion, nine million, three hundred forty-five thousand, six hundred sixty-four".