20068582609152 has 576 divisors, whose sum is σ = 74044812441600. Its totient is φ = 5208773713920.

The previous prime is 20068582608961. The next prime is 20068582609157. The reversal of 20068582609152 is 25190628586002.

20068582609152 is a `hidden beast` number, since 2 + 0 + 0 + 6 + 8 + 582 + 6 + 0 + 9 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (20068582609157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 760534903 + ... + 760561289.

It is an arithmetic number, because the mean of its divisors is an integer number (128550021600).

Almost surely, 2^{20068582609152} is an apocalyptic number.

20068582609152 is a gapful number since it is divisible by the number (22) 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 20068582609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37022406220800).

20068582609152 is an abundant number, since it is smaller than the sum of its proper divisors (53976229832448).

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

20068582609152 is a wasteful number, since it uses less digits than its factorization.

20068582609152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27859 (or 27839 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 20068582609152 in words is "twenty trillion, sixty-eight billion, five hundred eighty-two million, six hundred nine thousand, one hundred fifty-two".