20552356196064 has 720 divisors, whose sum is σ = 76761929890800. Its totient is φ = 5334266327040.

The previous prime is 20552356196051. The next prime is 20552356196089. The reversal of 20552356196064 is 46069165325502.

20552356196064 is a `hidden beast` number, since 2 + 0 + 5 + 5 + 23 + 5 + 6 + 1 + 9 + 606 + 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 20552356196064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2164084564 + ... + 2164094060.

It is an arithmetic number, because the mean of its divisors is an integer number (106613791515).

Almost surely, 2^{20552356196064} is an apocalyptic number.

20552356196064 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 20552356196064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38380964945400).

20552356196064 is an abundant number, since it is smaller than the sum of its proper divisors (56209573694736).

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

20552356196064 is a wasteful number, since it uses less digits than its factorization.

20552356196064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11093 (or 11069 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 20552356196064 in words is "twenty trillion, five hundred fifty-two billion, three hundred fifty-six million, one hundred ninety-six thousand, sixty-four".