20159693880480 has 1152 divisors, whose sum is σ = 87397482332160. Its totient is φ = 4110058782720.

The previous prime is 20159693880467. The next prime is 20159693880481. The reversal of 20159693880480 is 8408839695102.

20159693880480 is a `hidden beast` number, since 2 + 0 + 1 + 596 + 9 + 38 + 8 + 0 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (20159693880481) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1909237441 + ... + 1909247999.

It is an arithmetic number, because the mean of its divisors is an integer number (75865870080).

Almost surely, 2^{20159693880480} is an apocalyptic number.

20159693880480 is a gapful number since it is divisible by the number (20) 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 20159693880480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43698741166080).

20159693880480 is an abundant number, since it is smaller than the sum of its proper divisors (67237788451680).

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

20159693880480 is a wasteful number, since it uses less digits than its factorization.

20159693880480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10922 (or 10911 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 20159693880480 in words is "twenty trillion, one hundred fifty-nine billion, six hundred ninety-three million, eight hundred eighty thousand, four hundred eighty".